List of Publications of  Iskander A.  Taimanov

Articles recently published in arxiv.org

Books

  1. Modern Geometric Structures and Fields , Graduate Studies in Math., V. 71, AMS, 2006. 633 pp. (with S.P. Novikov)
    • Original Russian edition: Moscow: MCCME, 2005. 584 pp. (with S.P. Novikov) (Russian)
    • Second Russian edition, revised : Moscow: MCCME, 2014, 584 pp. (with S.P. Novikov) (Russian)
  1. Lectures on Differential Geometry , EMS Series of Lectures in Mathematics, EMS, 2008. 219 pp.
    • Original Russian edition: Moscow-Izhevsk, Institute of Computer Studies, 2002. 176 pp. (Russian)
    • Second edition (revised and expanded): Moscow-Izhevsk, Regular and Chaotic Dynamics, 2006. 260 pp. (Russian)

Articles

  1. Topological characteristics of oil and gas reservoirs and their applications.
    Towards Integrative Machine Learning and Knowledge Extraction, 182-193, Lecture Notes in Comput. Sci., 10344, Lecture Notes in Artificial Intelligence, Springer, Cham, 2017. (with V.A. Baikov, R.R. Gilmanov, and A.A. Yakovlev)
  2. The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere.
    Advanced Nonlinear Studies 17 (2017), 17-30. (with A. Abbondandolo, L. Asselle, G. Benedetti, and M. Mazzucchelli) [journal]
  3. On numerical study of the discrete spectrum of a two-dimensional Schrodinger operator with soliton potential.
    Communications in Nonlinear Science and Numerical Simulation 42 (2017), 83-92. (with A.N. Adilkhanov) [journal]
  4. On first integrals of geodesic flows on a two-torus.
    Proc. Steklov Inst. Math. 295 (2016), 225-242. [journal]
  5. The Moutard transformation of two-dimensional Dirac operators and the conformal geometry of surfaces in four-space.
    Math. Notes 100:6 (2016), 835-846. (with R.M. Matuev) [journal]
  6. Moutard-type transform for matrix generalized analytic functions and gauge transforms.
    Russian Math. Surveys 71:5 (2016), 970-972. (with R.G. Novikov) [journal]
  7. The spaces of non-contractible closed curves in compact space forms.
    Sb. Math. 207:10 (2016), 1458-1470. [journal]
  8. On an integrable magnetic geodesic flow on the two-torus.
    Regular and Chaotic Dynamics 20 (2015), 667-678. [journal]
  9. On a higher dimensional generalization of Seifert fibrations.
    Proc. Steklov Inst. Math. 288 (2015), 145-152. [journal]
  10. Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces.
    Theoret. and Math. Phys. 182:2 (2015), 173-181. [journal]
  11. A fast decaying solution to the modified Novikov-Veselov equation with a one-point singularity.
    Doklady Math. 91 (2015), 145-146. [journal]
  12. The Moutard transformation of two-dimensional Dirac operators and the Mobius geometry.
    Math. Notes 97:1 (2015), 124-135. [journal]
  13. Euclidean minimal tori with planar ends and elliptic solitons.
    Int. Math. Res. Not. IMRN 2015 (2015), no. 14, 5907-5932. (with C. Bohle) [journal]
  14. Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue.
    Functional Anal. Appl. 48:4 (2014), 295-297. (with R.G. Novikov and S.P. Tsarev) [journal]
  15. Spectral curves for Cauchy-Riemann operators on punctured elliptic curves.
    Functional Anal. Appl. 47:4 (2013), 319-322. (with C. Bohle) [journal]
  16. The Moutard transformation and two-dimensional multi-point delta-type potentials.
    Russian Math. Surveys 68:5 (2013), 957-959. (with R.G. Novikov) [journal]
  17. Numerical analysis of topological characteristics of three-dimensional geological models of oil and gas fields.
    Mathematical Modeling 25:10 (2013), 19-31. (Russian) (with Ya.V. Bazaikin, V.A. Baikov, and A.A. Yakovlev) [pdf]
  18. Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation.
    Theoret. and Math. Phys. 176 (2013), 1176-1183. (with S.P. Tsarev) [journal]
  19. On a numerical algorithm for computing topological characteristics of three-dimensional bodies.
    Zh. Vychisl. Mat. Mat. Fiz. 53:4 (2013), 523-530. (Russian) (with Ya.V. Bazaikin) [pdf]
  20. Singular spectral curves in finite gap integration.
    Russian Math. Surveys 66:1 (2011), 107-144. [journal]
  21. Periodic magnetic geodesics on almost every energy level via variational methods.
    Regular and Chaotic Dynamics 15 (2010), 598-605. [journal]
  22. The type numbers of closed geodesics.
    Regular and Chaotic Dynamics 15 (2010), 84100. [journal]
  23. Role of the mean curvature in the geometry of magnetic confinement configurations.
    Plasma Physics Reports 36 (2010), 819-823. (with A.A. Skovoroda) [journal]
  24. The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications.
    OCAMI (Osaka City University Advanced Mathematical Institute) Study Series, V. 3, 2010, pp. 169-183. (with S.P. Tsarev) [pdf]
  25. On the Moutard transformation and its applications to spectral theory and soliton equations.
    J. of Math. Sciences 170 (2010), 371-387. (with S.P. Tsarev) [journal]
  26. Blowing up solutions of the Novikov-Veselov equation.
    Doklady Math. 77 (2008), 467-468. (with S.P. Tsarev) [journal]
  27. Spectral conservation laws for periodic nonlinear equations of the Melnikov type.
    Amer. Math. Soc. Transl. Ser. 2, V. 224, 2008, P. 125-138. (with P.G. Grinevich) [pdf]
  28. Two-dimensional rational solitons and their blow-up via the Moutard transformation.
    Theoret. and Math. Phys. 157 (2008), 1525-1541. (with S.P. Tsarev) [journal]
  29. Surfaces in three-dimensional Lie groups in terms of spinors.
    RIMS Kokyuroku 1605 (2008), 133-150. [pdf]
  30. Two-dimensional Schrodinger operators with fast decaying rational potential and multidimensional L2-kernel.
    Russian Math. Surveys 62:3 (2007), 631-633. (with S.P. Tsarev) [journal]
  31. Infinitesimal Darboux transformations of the spectral curves of tori in the four-space.
    International Mathematics Research Notices 2007 (2007), rnm005, 1-21. (with P.G. Grinevich) [journal]
  32. Surfaces of revolution in the Heisenberg group and the spectral generalization of the Willmore functional.
    Siberian Math. J. 48:3 (2007), 395-407. (with D.A. Berdinsky) [journal]
  33. Some algebraic examples of Frobenius manifolds.
    Theoret. and Math. Phys. 151 (2007), 604-613. (with A.E. Mironov) [journal]
  34. Orthogonal curvilinear coordinate systems corresponding to singular spectral curves.
    Proc. Steklov Inst. Math. 255 (2006), 169-184. (with A.E. Mironov) [journal]
  35. Two-dimensional Dirac operator and surface theory.
    Russian Math. Surveys 61:1 (2006), 79-159. [journal]
  36. Surfaces in the four-space and the Davey-Stewartson equations.
    Journal of Geometry and Physics 56 (2006), 1235-1256. [journal]
  37. Surfaces in three-dimensional Lie groups.
    Siberian Math. J. 46:6 (2005), 1005-1019. (with D.A. Berdinsky) [journal]
  38. On the integrability of the n-centre problem.
    Mathematische Annalen 331 (2005), 631--649. (with A. Knauf) [journal]
  39. Finite gap theory of the Clifford torus.
    International Mathematics Research Notices (2005), 103-120. [journal]
  40. Geometric properties of dynamical systems.
    Proceedings of the conference "Mathematics, Mechanics, and Informatics - 2002" dedicated to 10th anniversary of RFBR, Moscow: Fizmatlit, 2005. P. 276-288. [pdf]
  41. The integrability of the n-center problem at high energies.
    Doklady Math. 70 (2004), 502-503. (with A. Knauf) [pdf]
  42. An example of jump from chaos to integrability in magnetic geodesic flows.
    Math. Notes 76 (2004), 587-589. [journal]
  43. Tame integrals of motion and o-minimal structures.
    Amer. Math. Soc. Transl. Ser. 2, V. 212, 2004, P. 317-324. [pdf]
  44. Dirac operators and conformal invariants of tori in the three-space.
    Proc. Steklov Inst. Math. 244 (2004), 233-263. [pdf]
  45. On two-dimensional finite-gap potential Schrodinger and Dirac operators with singular spectral curves.
    Siberian Math. J. 44:4 (2003), 686-694. [journal]
  46. On the formality problem for symplectic manifolds.
    AMS. Contemp. Math., V. 288 (2001), 1-9. (with I.K. Babenko) [pdf]
  47. Integrable geodesic flows on the suspensions of toric automorphisms.
    Proc. Steklov Inst. Math. 231 (2000), 42-58. (with A.V. Bolsinov) [pdf]
  48. Massey products in symplectic manifolds.
    Sb. Math. 191 (2000), 1107-1146. (with I.K. Babenko) [journal]
  49. Integrable geodesic flows with positive topological entropy.
    Inventiones Mathematicae 140 (2000), 639-650. (with A.V. Bolsinov) [journal]
  50. On nonformal simply connected symplectic manifolds.
    Siberian Math. J. 41:2 (2000), 204-217. (with I.K. Babenko) [journal]
  51. An example of an integrable geodesic flow with positive topological entropy.
    Russian Math. Surveys 54:4 (1999), 833-834. (with A.V. Bolsinov) [journal]
  52. Finite-gap solutions of the modified Novikov-Veselov equation, their spectral properties, and applications.
    Siberian Math. J. 40 (1999), 1146-1156. [journal]
  53. The Weierstrass representation of spheres, the Willmore numbers, and soliton spheres.
    Proc. Steklov Inst. Math. 225 (1999), 222-243. [pdf]
  54. A remark on positively curved manifolds of dimensions 7 and 13.
    Tensor and Vector Analysis, Gordon and Breach, Amsterdam, 1998, 282-295. [pdf]
  55. On the existence of nonformal simply connected symplectic manifolds.
    Russian Math. Surveys 53:5 (1998), 1082-1083. (with I.K. Babenko) [journal]
  56. The Weierstrass representation of closed surfaces in R3.
    Functional Anal. Appl. 32:4 (1998), 258-267. [journal]
  57. Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems.
    Trans. Amer. Math. Soc. 350 (1998), 2697-2717. (with A. Bahri) [journal]
  58. Some problems related to topology of manifolds with positive sectional curvature.
    Siberian Adv. Math. 8:4 (1998), 84-108. [pdf]
  59. The global Weierstrass representation and its spectrum.
    Russian Math. Surveys 52:6 (1997), 1330-1332. [journal]
  60. Surfaces of revolution in terms of solitons.
    Ann. Glob. Anal. Geom. 15 (1997), 419-435. [journal]
  61. Secants of abelian varieties, theta functions and soliton equations.
    Russian Math. Surveys 52:1 (1997), 147-218. [journal]
  62. Integrable geodesic flows of non-holonomic metrics.
    Journal of Dynamical Systems and Control Theory 3 (1997), 129-147. [journal]
  63. Difference analogs of the harmonic oscillator.
    Amer. Math. Soc. Transl. Ser. 2, V. 179, 1997, P. 126-130. (with S.P. Novikov) [pdf]
  64. Modified Novikov-Veselov equation and differential geometry of surfaces.
    Amer. Math. Soc. Transl. Ser. 2, V. 179, 1997, P. 133-151. [pdf]
  65. On totally geodesic embeddings of 7-dimensional manifolds into 13-dimensional manifolds of positive sectional curvature.
    Sb. Math. 187 (1996), no. 12, 1853-1867. [journal]
  66. Constant mean curvature surfaces via an integrable dynamical system.
    J. Phys. A : Math. Gen. 29 (1996), 1261-1265. (with B.G. Konopelchenko) [journal]
  67. On the two-gap elliptic potentials.
    Acta Applicandae Math. 36 (1994), 119-124. [journal]
  68. The topology of Riemannian manifolds with integrable geodesic flows.
    Proc. Steklov Inst. Math. 205 (1995), 139-150. [pdf]
  69. Closed geodesics on non-simply connected manifolds.
    Siberian Math. J. 34 (1993), 1154-1160. [journal]
  70. The Landau-Lifshits equation and quadruple secants of Prym varieties.
    Functional Anal. Appl. 27 (1993), 222-224. [journal]
  71. Closed non-self-intersecting extremals of multivalued functionals.
    Siberian Math. J. 33 (1992), 686-692. [journal]
  72. On the existence of three nonintersecting closed geodesics on manifolds that are homeomorphic to the two-dimensional sphere.
    Russian Acad. Sci. Izv. Math. 40 (1993), 565-590. [journal]
  73. Closed extremals on two-dimensional manifolds.
    Russian Math. Surveys 47:2 (1992), 163-211. [journal]
  74. Non-self-intersecting closed extremals of multivalued or not-everywhere-positive functionals.
    Math. USSR-Izv. 38 (1992), 359-374. [pdf]
  75. Prym theta functions and hierarchies of nonlinear equations.
    Math. Notes 50 (1992), 723-730. [journal]
  76. Prym varieties of branched coverings, and nonlinear equations.
    Math. USSR-Sb. 70 (1991), 367-384. [pdf]
  77. Two-dimensional finite-zone Schrodinger potential operators.
    Functional Anal. Appl. 24 (1990), no. 1, 76-77. [journal]
  78. Elliptic solutions of nonlinear equations.
    Theoret. and Math. Phys. 84 (1991), 700-706. [journal]
  79. Multivalued finite-zone solutions of the equation D u = sin u.
    Math. Notes 47 (1990), 293-297. [journal]
  80. Smooth real finite-zone solutions of sine-Gordon type equations.
    Math. Notes 47 (1990), 94-100. [journal]
  81. On topological properties of integrable geodesic flows.
    Mathematical Notes 44:2 (1988), 283-284. (Russian) [pdf]
  82. Topological obstructions to the integrability of geodesic flows on nonsimply connected manifolds.
    Math. USSR-Izv. 30 (1988), 403-409. [pdf]
  83. On an analogue of the Novikov conjecture in a problem of Riemann-Schottky type for Prym varieties.
    Sov. Math. Dokl. 35 (1987), 420-424. [pdf]
  84. Effectivization of theta-function formulas for two-dimensional Schrodinger potential operators that are finite-gap at a certain energy level.
    Sov. Math. Dokl. 32 (1985), 843-846. [pdf]
  85. Closed geodesics on non-simply-connected manifolds.
    Russian Math. Surveys 40:6 (1986), 143-144. [pdf]
  86. Periodic extremals of multivalued or not everywhere positive functionals.
    Sov. Math. Dokl. 29 (1984), 18-20. (with S.P. Novikov) [pdf]
  87. The principle of throwing out cycles in Morse-Novikov theory.
    Sov. Math. Dokl. 27 (1983), 43-46. [pdf]

Proceedings of Conferences

    About a role of mean curvature in magnetic mirror geometry.
    Fusion Science and Technology 59t:1 (2011), 190-192. (with A.A. Skovoroda)