Papers in preparation

• Projectively homogeneous metrics near points where they are not projectively homogeneous, (with G. Manno)

  Submitted Papers (updated in August 2025)

• On Separation of Variables for Symmetric Spaces of Rank 1, (with A. Bolsinov, H. Dullin and Yu. Nikolayevsky), submitted to C. R. Math. Acad. Sci. Paris.

Preprints or links to the official versions of published or accepted papers. Official offprints are available upon request

• 143. Integrability of the magnetic geodesic flow on the sphere with a constant 2-form, (with A. Bolsinov and A. Konyaev), accepted to Int. J. of Geometric Methods in Modern Physics. DOI:
• 142. On the Jordan-Chevalley decomposition problem for operator fields in small dimensions and Tempesta-Tondo conjecture, (with A. Bolsinov and A. Konyaev), J. Geom. Phys. 218(2025), 105656
• 141. Variationality of conformal geodesics in dimension 3, (with B. Kruglikov and W. Steneker), Analysis and Mathematical Physics 15(2025), 123
• 140. Finite-dimensional reductions and finite-gap type solutions of multicomponent integrable PDEs, (with A. Bolsinov and A. Konyaev), Studies in Applied Mathematics, 155(2025), no 2; 155:e70100
• 139. Self-adjoint quantization of Stäckel integrable systems, (with J. Kress), J. Phys. A: Math. Theor. 58(2025), 345202
• 138. Real-analyticity of 2-dimensional superintegrable metrics and solution of two Bolsinov-Kozlov-Fomenko conjectures, Reg. Chaot. Dyn., 30(2025), no. 4, p. 677--687.
• 137. Research problems on relations between Nijenhuis geometry and integrable systems, (with A. Bolsinov and A. Konyaev), accepted to Matrix Annals
• 136. Thoughts about potentials with finite-band spectrum and finite-dimensional reductions of BKM systems, (with A. Konyaev), accepted to Matrix Annals
• 135. On the existence of geodesic vector fields on closed surfaces, Theoretical and Applied Mechanics, 52(2025), no. 1, 109--113, DOI
• 134. If a Minkowski billiard is projective, it is the standard billiard, (with Alexey Glutsyuk), Sb. Math. 216 (2025), no. 5, 64--83.
• 133. Integrable geodesic flows with simultaneously diagonalisable quadratic integrals, (with S. Agafonov), accepted to Arnold Math. Journal
• 132. Killing tensors on reducible spaces, (with Yu. Nikolayevsky), Manuscripta Math. 176(2025), no. 1, Paper No. 3.
• 131. Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures, (with A. Bolsinov and A. Konyaev), Nonlinearity 37(2024), no. 10, 105003.
• 130. Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields, (with Yu. Nikolayevsky), C. R. Math. Acad. Sci. Paris 362 (2024), 1043--1049.
• 129. Orthogonal separation of variables for spaces of constant curvature, (with A. Bolsinov and A. Konyaev), Forum Math. 37 (2025), no. 1, 13--41.
• 128. Applications of Nijenhuis Geometry V: geodesically equivalent metrics and finite-dimensional reductions of certain integrable quasilinear systems, (with A. Bolsinov and A. Konyaev), Journal of Nonlinear Science 34(2024), 33
• 127. Canonical curves and Kropina metrics in Lagrangian contact geometry, (with T. Ma, K. J. Flood, V. Žádník), Nonlinearity 37 (2024), 015007
• 126. When a (1,1)-tensor generates separation of variables of a certain metric, (with A. Konyaev and J. Kress), J. Geom. Phys. 195(2024), 105031. doi.org/10.1016/j.geomphys.2023.105031
• 125. Bernhard Riemann 1861 revisited: existence of flat coordinates for an arbitrary bilinear form, (with S. Bandyopadhyay, B. Dacorogna and M. Troyanov), Math. Zeit. 305 (2023), no 1, 12.
• 124. Nijenhuis Geometry III: GL-regular Nijenhuis operators, (with A. Bolsinov and A. Konyaev), Rev. Mat. Iberoam. 40 (2024), no. 1, 155--188.
• 123. Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures, (with A. Bolsinov and A. Konyaev), J. Geom. Anal. 33 (2023), no. 6, 193.
• 122. Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations, (with A. Bolsinov and A. Konyaev), Dynamics of Partial Differential Equation, 20(2023), no. 1, 73--98.
• 121. Almost every path structure is not variational, (with B. Kruglikov), General Relativity and Gravitation 54(2022), 121.
• 120. On the equation (Du)tH Du = G, (with S. Bandyopadhyay, B. Dacorogna and M. Troyanov) Nonlinear Analysis 214 (2022), 112555.
• 119. Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds (with Tianyu Ma and Ilya Pavlyukevich), J. Geom. Anal., 31(12)(2021) , 12446--12484 DOI:10.1007/s12220-021-00723-z
• 118. Proof of Laugwitz Conjecture and Landsberg Unicorn Conjecture for Minkowski norms with SO(k)×SO(n-k)-symmetry, (with Ming Xu), Canad. J. Math. 74 (2022) no. 5, 1486--1516, DOI:10.4153/S0008414X21000304
• 117. Applications of Nijenhuis geometry II: maximal pencils of multihamiltonian structures of hydrodynamic type, (with A. Bolsinov and A. Konyaev), Nonlinearity 34 (8)(2021):5136--5162
• 116. Nijenhuis Geometry, (with A. Bolsinov and A. Konyaev), Adv. Math. 394 (2022), Paper No. 108001
• 115. Local normal forms for c-projectively equivalent metrics and proof of the Yano-Obata conjecture in arbitrary signature. Proof of the projective Lichnerowicz conjecture for Lorentzian metrics , (with A. Bolsinov, S. Rosemann), Annales de l'ENS 54(6)(2021), 1465--1540.
• 114. Conformally related Douglas metrics are Randers, (with S. Saberali) Archiv der Mathematik 116 (2021), 221--231.
• 113. Almost all Finsler metrics have infinite dimensional holonomy group, (with B. Hubicska and Z. Muzsnay), J. Geom. Anal. 31 (2021), no. 6, 6067--6079.
• 112. Light cone and Weyl compatibility of conformal and projective structures, (with Erhard Scholz), General Relativity and Gravitation 52(2020) , Article number 66
• 111. Applications of Nijenhuis geometry: Nondegenerate singular points of Poisson-Nijenhuis structures , (with Alexey V. Bolsinov and Andrey Yu. Konyaev), European Journal of Mathematics 8(2022), 1355--1376. DOI:10.1007/s40879-020-00429-6.
• 110. Some geometric correspondences for homothetic navigation, (with Ming Xu, Ke Yan and Shaoxiang Zhang), Publ. Math. Debr 97(3-4) (2020), 449--474.
• 109. Quantum integrability for the Beltrami-Laplace operators of projectively equivalent metrics of arbitrary signatures, Chebyshevskii Sbornik 21(2)(2020), 275--289. DOI 10.22405/2226-8383-2020-21-2-275-289
• 108. Open problems and questions about geodesics, (with K. Burns) Ergodic Theory Dynam. Systems 41 (2021), no. 3, 641--684.
• 107. Chains in CR geometry as geodesics of a Kropina metric, (with Jih-Hsin Cheng, Taiji Marugame, and Richard Montgomery ) Advances in Mathematics 350 (2019), 973--999
• 106. Geodesic behavior for Finsler metrics of constant positive flag curvature on $S^2$, (with R. L. Bryant, P. Foulon, S. Ivanov, W. Ziller) J. Diff. Geom., 117(2021), 1--22.
• 105. Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems, (with A. Bolsinov, E. Miranda, S. Tabachnikov) Philosophical Transactions A. 376 (2018) 20170430; DOI: 10.1098/rsta.2017.0430
• 104. On the Lichnerowicz conjecture for CR manifolds with mixed signature, (with J. S. Case, S. N. Curry) Comptes Rendus. 356 (2018)532–537 DOI:10.1016/j.crma.2018.03.012
• 103. On the groups of c-projective transformations of complete Kähler manifolds, (with K. Neusser) Ann. Global Anal. Geom. 54 (2018), no. 3, 329-352. DOI:10.1007/s10455-018-9604-6
• 102. Projectively invariant objects and the index of the group of affine transformations in the group of projective transformations, Bull. Iran. Math. Soc. 44 (2018), 341-375, DOI:10.1007/s41980-018-0024-y
• 101. Zermelo deformation of Finsler metrics by Killing vector fields, (with P. Foulon) Electron. Res. Announc. Math. Sci. 25 (2018), 1 - 7. DOI: 10.3934/era.2018.25.001
• 100. C-projective geometry, (with D. Calderbank, M. Eastwood, K. Neusser), Mem. Amer. Math. Soc. 267 (2020), no. 1299, v+137 pp.
• 99. Monochromatic metrics are generalized Berwald, (with N. Bartelmeß) J. Diff. Geom. Appl. 58 (2018) 264-271
• 98. Locally 2-fold symmetric manifolds are locally symmetric, (with Shaoqiang Deng), Arch. Math. (Basel) 108 (2017), 521-525.
• 97. Locally conformally Berwald manifolds and compact quotients of reducible manifolds by homotheties , (with Yu. Nikolayevsky), Annales de l'Institut Fourier, 67 (2017), no. 2, 843 - 862
• 96. Projectively related metrics, Weyl nullity and metric projectively invariant equations, (with A.R. Gover) Proc. Lond. Math. Soc. (3) 114 (2017), no. 2, 242--292.
• 95. The Myers-Steenrod theorem for Finsler manifolds of low regularity , (with M. Troyanov), Proc. Amer. Math. Soc. 145 (2017), no. 6, 2699–2712
• 94. The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta , (with B. Kruglikov), Nonlinearity 29 (2016) 1755--1768
• 93. Submaximal c-projective structures, (with B. Kruglikov and D. The), Int. J. Math. 27 (2016), 1650022 (34 pages)
• 92. Curvature and the c-projective mobility of Kaehler metrics with hamiltonian 2-forms, (with D. Calderbank, S. Rosemann), Compositio Math. 152 (2016), 1555-1575.
• 91. On the number of nontrivial projective transformations of closed manifolds, Russian version in Fundam. Prikl. Mat. 20 (2015), 125--131, english translation in Journal of Mathematical Sciences, 223 (2017) 734-738
• 90. The degree of mobility of Einstein metrics, (with S. Rosemann), J. Geom. Phys. 99 (2016), 42–56.
• 89. Smoothing 3-dimensional polyhedral spaces, (with N. Lebedeva, A. Petrunin and V. Shevchishin), Electron. Res. Announc. Math. Sci. 22 (2015), 12–19.
• 88. Completeness and incompleteness of the Binet-Legendre Metric, (with M. Troyanov) European Journal of Mathematics 1 (2015), 483-502
• 87. A counterexample to Belgun-Moroianu conjecture, (with Yu. Nikolayevsky) C. R. Math. Acad. Sci. Paris 353 (2015), 455-457.
• 86. Conification construction for Kähler manifolds and its application in c-projective geometry, (with S. Rosemann) Adv. Math. 274(2015), 1- 38.
• 85. There exist no locally symmetric Finsler spaces of positive or negative flag curvature, C. R. Math. Acad. Sci. Paris 353 (2015), no. 1, 81-83.
• 84. Isometries of twodimensional Hilbert metrics, (with M. Troyanov) l'Enseignement Mathématiques. 61 (2015), pp. 453–460 DOI: 10.4171/LEM/61-3/4-7
• 83. Four-dimensional Kähler metrics admitting c-projective vector fields, (with A. Bolsinov, Th. Mettler, S. Rosemann) J. Math. Pures Appl. (9) 103 (2015), no. 3, 619-657, DOI: 10.1016/j.matpur.2014.07.005
• 82. Local normal forms for geodesically equivalent pseudo-Riemannian metrics, (with A. Bolsinov) Trans. Amer. Math. Soc. 367 (2015), 6719--6749
• 81. There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor, (with Volodymyr Kiosak) J. Geom. Phys. 78(2014) 1-11.
• 80. Submaximal metric projective and metric affine structures, (with Boris Kruglikov) J. Differential Geometry and Its Applications Volume 33(2014), Suppl., 70--80, doi:10.1016/j.difgeo.2013.10.005.
• 79. Degree of mobility for metrics of lorentzian signature and parallel (0,2)-tensor fields on cone manifolds, (with A. Fedorova) Proceedings of the LMS 108(2014) 1277-1312. doi: 10.1112/plms/pdt054.
• 78. On submaximal dimension of the group of almost isometries of Finsler metrics, Houston J. Math. 41 (2015), 1129-1136
• 77. A criterion for compatibility of conformal and projective structures, (with Andrzej Trautman) Comm. Math. Phys. 329(2014), 821-825 DOI: 10.1007/s00220-013-1850-7
• 76. Some Remarks on Nijenhuis Bracket, Formality, and Kähler Manifolds, (with P. de Bartolomeis) Advances in Geometry 13 (2013) 571-581.
• 75. The Binet-Legendre Metric in Finsler Geometry, (with M. Troyanov), Geometry & Topology 16 (2012) 2135-2170 DOI: 10.2140/gt.2012.16.2135
• 74. Proof of the Yano-Obata Conjecture for holomorph-projective transformations, (with S. Rosemann), J. Diff. Geom. 92(2012) 221-261
• 73. Nonexistence of an integral of the 6th degree in momenta for the Zipoy-Voorhees metric, (with. B. Kruglikov) Phys. Rev. D 85(2012) , 124057, 5 pages, doi: 10.1103/PhysRevD.85.124057
• 72. On projective equivalence and pointwise projective relation of Randers metrics, Int. J. Math., 23(2012), no. 9. 1250093 (14 pages). doi: http://dx.doi.org/10.1142/S0129167X12500930
• 71. Can we make a Finsler metric complete by a trivial projective change? proceedings of the VI International Meeting on Lorentzian Geometry (Granada, September 6--9, 2011), Springer Proceedings in Mathematics & Statistics, 26(2013), 231-243.
• 70. On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds, SIGMA, 8(2012), 007, 4 pages.
• 69. On integrable natural hamiltonian systems on the suspention of toric automorphisms, Qual. Theory Dyn. Syst. 11(2012) 443-447 DOI 10.1007/s12346-012-0067-z
• 68. Two remarks on $PQ^\epsilon$-projectivity of Riemannian metrics, (with S. Rosemann), Glasgow Mathematical Journal, 55(2013), no 1, pp 131-138, doi:10.1017/S0017089512000390
• 67. The only closed Kähler manifold with degree of mobility >2 is (CP(n), g_{Fubini-Study}), (with A. Fedorova, V. Kiosak, S. Rosemann), Proc. London Math. Soc. 105(2012) no. 1, 153-188. doi: 10.1112/plms/pdr053
• 66. Geodesically equivalent metrics in general relativity, J. Geom. Phys. 62(2012), 675–691.
• 65. Two-dimensional superintegrable metrics with one linear and one cubic integral, (with V. Shevchishin), J. Geom. Phys. 61(2011), no 8, pp. 1353-1377
• 64. Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics, J. Math. Soc. Jpn. 64(2012) no. 1, 107--152.
• 63. On the Degree of Geodesic Mobility for Riemannian Metrics, (with V. A. Kiosak, J. Mikes, and I. G. Shandra) Math Notes 87(2010), no. 4, 628–629. Russian original
• 62. Differential invariants for cubic integrals of geodesic flows on surfaces, (with Vsevolod V. Shevchishin), J. Geom. Phys. 60(2010) no. 6-8, 833-856
• 61. Gallot-Tanno Theorem for closed incomplete pseudo-Riemannian manifolds and applications, (with Pierre Mounoud) Global. Anal. Geom. 38(2010), no. 3, 259-271.
• 60. Proof of projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two, (with Volodymyr Kiosak), Comm. Mat. Phys. 297(2010), 401-426.
• 59. Two-dimensional metrics admitting precisely one projective vector field. This paper has an Appendix Dini theorem for pseudoriemannian metrics (joint with A. Bolsinov and G. Pucacco), Math. Ann. 352(2012), no. 4, 865-909.
• 58. Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics, (with A. Bolsinov), Transactions of the American Mathematical Society 363(2011), no 8, 4081-4107.
• 57. Compatibility of Gauss maps with metrics, (with J.-H. Eschenburg, B. S. Kruglikov, R. Tribuzy), J. Differential Geometry and Its Applications. 28(2010) no. 2, 228-235.
• 56. Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist, J. Differential Geometry and Its Applications 28(2010) no. 2, 236-240.
• 55. There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics, (with Volodymyr Kiosak), C. R. Acad. Sci. Paris, Ser. I 347(2009) 1067–1069
• 54. Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta (with A. Bolsinov and G. Pucacco), J. Geom. Phys. 59(2009), no. 7, 1048–1062
• 53. Fubini Theorem for pseudo-Riemannian metrics, (with Alexey V. Bolsinov, and Volodymyr Kiosak), Journal of the London Mathematical Society 80(2009) no. 2, 341–356
• 52. Complete Einstein metrics are geodesically rigid, (with Volodymyr Kiosak), Comm. Math. Phys. 289(2009), no. 1, 383–400
• 51. Riemannian metrics having the same geodesics with Berwald metrics, Publ. Math. Debrecen 74(2009) no. 3-4, 405-416
• 50. Conformal Lichnerowicz-Obata conjecture, (with Hans-Bert Rademacher, Marc Troyanov, and Abdelghani Zeghib), Annales de l'institut Fourier, 59(2009), no. 3, 937-949
• 49. On ``All regular Landsberg metrics are always Berwald" by Z. I. Szabo, Balkan Journ. Geom. 14(2009), No. 2, 50-52
• 48. A solution of S. Lie Problem: Normal forms of 2-dim metrics admitting two projective vector fields, (with R. Bryant und G. Manno), Math. Ann. 340(2008), no. 2, 437-463
• 47. Proof of Projective Lichnerowicz-Obata Conjecture, J. of Differential Geometry, 75(2007), 459-502.
• 46. Metric Connections in Projective Differential Geometry, (with Michael Eastwood), Symmetries and Overdetermined Systems of Partial Differential Equations (Minneapolis, MN, 2006), 339--351, IMA Vol. Math. Appl., 144(2007), Springer, New York.
• 45. Geometric explanation of the Beltrami Theorem, Int. J. Geom. Methods Mod. Phys. 3(2006), no. 3, 623--629.
• 44. On vanishing of topological entropy for certain integrable systems, (with B. Kruglikov), Electron. Res. Announc. Amer. Math. Soc. 12(2006), 19--28
• 43. Lichnerowicz-Obata conjecture in dimension two, Comm. Math. Helv. 80(2005) no. 3, 541-570.
• 42. Strictly non-proportional geodesically equivalent metrics have zero topological entropy, (with B. Kruglikov), Ergodic Theory and Dynamical Systems 26 (2006) no. 1, 247-266.
• 41. On the rigidity of magnetic systems with the same magnetic geodesics, (with K. Burns) Proc. Amer. Math. Soc. 134 (2006), 427-434.
• 40. On degree of mobility of complete metrics, Compt. Math., 43(2006), 221--250.
• 39. Beltrami problem, Lichnerowicz-Obata conjecture and applications of integrable systems in differential geometry, Tr. Semin. Vektorn. Tenzorn. Anal, 26(2005), 214--238.
• 38. On projectively equivalent metrics near points of bifurcation, In the book "Topologival methods in the theory of integrable systems"'(Eds.: Bolsinov A.V., Fomen ko A.T., Oshemkov A.A.), Cambridge scientific publishers, pp. 213 -- 240, arXiv:0809.3602.
• 37. New integrable system on the sphere, (with H. Dullin) Math. Res. Lett., Vol. 11 (2004), 715--722.
• 36. Solodovnikov's theorem in dimension two, Dokl. Math. 69(2004), no. 3, 338--341.
• 35. Closed manifolds admitting metrics with the same geodesics, Proceedings of SPT2004 (Cala Gonone). World Scientific (2005), 198-209.
• 34. Projectively equivalent metrics on the torus, Differential Geom. Appl., 20(2004) 251-265.
• 33. The eigenvalues of the Sinjukov mapping are globally ordered, Math. Notes 77(2005) no. 3-4. 380-390.
• 32. Die Vermutung von Obata für Dimension 2, Arch. Math. 82(2004) 273--281.
• 31. Three-dimensional manifolds having metrics with the same geodesics, Topology 42(2003) no. 6, 1371-1395.
• 30. Hyperbolic manifolds are geodesically rigid, Invent. math. 151(2003), 579-609.
• 29. Three-manifolds admitting metrics with the same geodesics, Math. Res. Lett. 9(2002), no. 2-3, 267--276.
• 28. Geometrical interpretation of Benenti systems, (with A. Bolsinov) Journal of Geometry and Physics, 44(2003), 489-506
• 27. Geodesic equivalence via integrability, (with P. Topalov), Geometriae Dedicata 96(2003) 91--115.
• 26. Geschlossene hyperbolische 3-Mannigflatigkeiten sind geodätisch starr. [Three-dimensional closed hyperbolic manifolds are geodesically rigid] , Manuscripta Math. 105(2001), no. 3, 343--352.
• 25. Quantum integrability and complete separation of variables for projectively equivalent metrics on the torus, Geometry, integrability and quantization (Varna, 2000), 228--244, Coral Press Sci. Publ., Sofia, 2001.
• 24. Integrability in theory of geodesically equivalent metrics, J. Phys. A., 34(2001), 2415--2433.
• 23. Metric with ergodic geodesic flow is completely determined by unparameterized geodesics, (with P. Topalov), ERA-AMS, 6(2000).
• 22. Quantum integrability for the Beltrami-Laplace operator as geodesic equivalence, (with P. Topalov), Math. Z. 238(2001), no. 4, 833--866.
• 21. Commuting operators and separation of variables for Laplacians of projectively equivalent metrics, Let. Math. Phys., 54, 193-201, 2000.
• 20. Geodesic equivalence of metrics as a particular case of integrability of geodesic flows, (with P. Topalov), Theor. Math. Phys. 123(2000) no 2. 285--293.
• 19. Dynamical and topological methods in theory of geodesically equivalent metrics, (with P. Topalov), Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 266 (2000), Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 5, 155--168, 338.
• 18. Quantum integrability of the Beltrami-Laplace operator for geodesically equivalent metrics, Russian Math. Doklady 61(2000), no 2, 216--219.
• 17. Riemannian metrics with integrable geodesic flows on surfaces: local and global geometry, (with A. V. Bolsinov and A. T. Fomenko) - Mat. Sb. 189(1998), no. 10, 5--32. ( (extended version)
• 16. Algorithmic classification of invariant neighborhoods of saddle-saddle points, (with A. Oshemkov) - Vestnik Moskov. Univ. Ser. I Mat. Mekh. (Moscow University Math. Bull), 1999, no. 2, 62 -- 65.
• 15. On Integrals of Third Degree in Momenta, (with H. Dullin and P. Topalov) - Regular and Chaotic Dynamics, 4(1999), no. 3, 35--44.
• 14. Geodesic equivalence of metrics on surfaces as integrability, (with P. Topalov) - Doklady of Russian Academy of science (Russian Math. Doklady 60, 112--114), 367(1999), no. 6. 736--738.
• 13. Trajectory equivalence and corresponding integrals, (with P. Topalov) - Regular and Chaotic Dynamics, 3(1998), 30--45.
• 12. Integrable Hamiltonian Systems with two degrees of freedom. Topological structure of saturated neighborhoods of non-degenerate singular points, (with A.V. Bolsinov), - In the book Tensor and Vector Analysis, Gordon & Breach 1998, 31--57.
• 11. Geodesic flows on the Klein bottle, integrable linear or quadratic in velocities, - In the book: Topological methods in Theory of Hamiltonian Systems, Factorial 1998, 213--223.
• 10. Asymptotic eigenvalues of the operator \nabla D(x,y) \nabla, corresponding to Liouville metrics, and wave on water, caught by bottom non-homogeneity, - Mat. Zam.(Math. Notes) 64(1998), no. 3-4, 357--363.
• 9. If a metric on the sphere is geodesically equivalent to a metric of constant curvature, then it is a metric of constant curvature, (with P. Topalov), Vestnik Moskov. Univ. Ser. I Mat. Mekh (Moscow University Math. Bull), 1998, no. 5.
• 8. Topological structure of integrable geodesic flow on the Klein bottle, Regular and Chaotic Dynamics, 3(1998)
• 7. Conjugate points of hyperbolic geodesics of quadratically integrable geodesics flows, ( with Peter Topalov) - Vestnik Moskov. Univ. Ser. I Mat. Mekh (Moscow University Math. Bull), 1998, no. 1, 60--62.
• 6. Jacobi vector fields for integrable geodesic flows, (with P. Topalov) - Regular and Chaotic Dynamics, 2 (1997), 103--116.
• 5. An example of geodesic flow on the Klein Bottle, integrable in polynomial in momenta of fourth degree, - Vestnik Moskov. Univ. Ser. I Mat. Mekh (Moscow University Math. Bull), 1997, no. 4, 47--48.
• 4. Quadratically integrable geodesic flows on the torus and the Klein bottle, - Regular and Chaotic Dynamics, 2(1997), 96--102.
• 3. Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom, (with A. Bolsinov) J. Math. Sci., New York 94(1999), No.4, 1477-1500; translation from Zap. Nauchn. Semin. POMI 235(1996), 54-86.
• 2. Integrable Hamiltonian Systems with two degrees of freedom. Topological structure of saturated neighborhoods of saddle-saddle and focus points, - Mat. Sb. 187(1996), no. 4, 29-58.
• 1. Computation of values of the Fomenko invariant for a point of the type ``saddle-saddle''of an integrable Hamiltonian system, Tr. Semin. Vektorn. Tenzorn. Anal, 25(1993), pp. 75-105 (in Russian).