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Shurygin Vadim Vasil'evich

Publications in Math-Net.Ru

  1. Holonomy pseudogroup of a manifold over the algebra of dual numbers and some its applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2,  82–88
  2. Holonomy pseudogroups as obstructions to equivalence of manifolds over the algebra of dual numbers

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:3 (2019),  438–455
  3. Lie Jets and Higher-Order Partial Connections

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148 (2018),  122–129
  4. Transversal Lie jets and holomorphic geometric objects on transverse bundles

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 5,  80–85
  5. Lie jets and symmetries of prolongations of geometric objects

    Fundam. Prikl. Mat., 16:2 (2010),  163–181
  6. Holomorphic Tensor Fields and Linear Connections on a Second Order Tangent Bundle

    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  36–50
  7. Lifts of geometric objects to the Weil bundle $T^\mu M$ of a foliated manifold defined by an epimorphism $\mu$ of Weil algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 10,  76–89
  8. On the higher order geometry of Weil bundles over smooth manifolds and over parameter-dependent manifolds

    Lobachevskii J. Math., 18 (2005),  53–105
  9. Smooth manifolds over local algebras and Weil bundles

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 73 (2002),  162–236
  10. An analog of the Vaisman–Molino cohomology for manifolds Modelled on some types of modules over weil algebras and its application

    Lobachevskii J. Math., 9 (2001),  55–75
  11. The structure of smooth mappings over weil algebras and the category of manifolds over algebras

    Lobachevskii J. Math., 5 (1999),  29–55
  12. Atiyah-Molino classes of a smooth manifold over a local algebra $\mathbb A$ as obstacles to the continuation of transversal connections to $\mathbb A$-smooth connections

    Tr. Geom. Semin., 23 (1997),  199–210
  13. On the cohomology of manifolds over local algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 9,  71–85
  14. Ehresmann connection for the canonical foliation on a manifold over a local algebra

    Mat. Zametki, 59:2 (1996),  303–310
  15. On a geometric property of a torsion object of a connection of higher order

    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 2,  71–74
  16. On a category of manifolds over algebras

    Tr. Geom. Semin., 22 (1994),  107–122
  17. Manifolds over algebras and their application to the geometry of jet bundles

    Uspekhi Mat. Nauk, 48:2(290) (1993),  75–106
  18. Manifolds over local algebras that are equivalent to jet bundles

    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 10,  68–79
  19. The higher order connections and the lifts of fields of geometric objects

    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 5,  96–104
  20. Projectable geometric objects on the $\mathbb A$-jet bundle

    Tr. Geom. Semin., 20 (1990),  120–126
  21. Structure equations for the bundle of $A$-affine frames

    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 12,  78–80
  22. Lifts of $G$-structures on an $\mathbf A$-jet bundle

    Tr. Geom. Semin., 19 (1989),  127–133
  23. Jet bundles as manifolds over algebras

    Itogi Nauki i Tekhniki. Ser. Probl. Geom., 19 (1987),  3–22
  24. Equations of the parallel transport of an ${\rm A}$-jet

    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 9,  78–80
  25. Jet bundles and manifolds over algebras. III

    Tr. Geom. Semin., 17 (1986),  110–120
  26. On the theory of higher-order differential groups

    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 11,  77–81
  27. Jet bundles and manifolds over algebras. II

    Tr. Geom. Semin., 16 (1984),  127–142
  28. Jet bundles defined by local algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 12,  77–80
  29. Jet bundles and manifolds over algebras

    Tr. Geom. Semin., 15 (1983),  98–115
  30. On the theory of curves on varieties over algebras

    Tr. Geom. Semin., 13 (1981),  109–120
  31. On some generalization of flat connections in spaces over algebras

    Tr. Geom. Semin., 12 (1980),  118–127
  32. Special connections on surfaces of a space over an algebra

    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 7,  83–87
  33. Generalization of a theorem

    Tr. Geom. Semin., 11 (1979),  120–124
  34. Analytic manifolds over algebras and their submanifolds

    Tr. Geom. Semin., 11 (1979),  115–119
  35. Analytic subspaces of spaces over algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 4,  127–131
  36. Pure tensors on manifolds with a commutative algebraic structure

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 3,  120–124
  37. Families of totally geodesic hypersurfaces in Weyl spaces

    Tr. Geom. Semin., 10 (1978),  140–147
  38. Totally geodesic subspaces in spaces over algebras

    Tr. Geom. Semin., 10 (1978),  128–139
  39. Totally geodesic subspaces in spaces over algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 11,  127–129
  40. Induced connections on the surfaces of a space over an algebra

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 9,  127–130
  41. The realization of a complex Weyl space

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 2,  62–74

  42. A. P. Norden — an outstanding Soviet scientist and organizer of science (to the 120th anniversary of his birth)

    Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 7,  3–8
  43. Leonid Aleksandrovich Aksent'ev

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  98–100
  44. A brief scientific biography of V. V. Vishnevskii

    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  6–8
  45. An Essay on Scientific and Pedagogical Biography of A. P. Shirokov

    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150:1 (2008),  130–152
  46. Очерк научной и педагогической деятельности В. В. Вишневского (к 75-летию со дня рождения)

    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 147:1 (2005),  26–36
  47. The evolution of hydromechamics in Chebotarev Research Institute of Mathematics and Mechamics, Kazan State University. The report at solemn meeting devoted to 200-th anniversary of KSU and 70-th anniversary of NIIMM, September 28-th, 2004

    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 147:1 (2005),  5–15

© Steklov Math. Inst. of RAS, 2026