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On normal form of distribution jets

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Book cover Topology and Geometry — Rohlin Seminar

Part of the book series: Lecture Notes in Mathematics ((2179,volume 1346))

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References

  1. Vershik A.M., Faddeev L.D. Lagrange mechanic in invariant form. Selecta Math.Sov., 1984, 1:4, 339–350.

    MATH  Google Scholar 

  2. Vershik A.M. Classical and not classical dynamics with connections. Lecture Notes in Math., 1984, 1108, Global Analysis-Studies appl, 278–301.

    Google Scholar 

  3. Gershkovich V.Ya. Two-sides estimates of metric generated by absolutely nonholonomic distributions.-Sovjet.Mathem.Dokl., 30, 1984, N 2, 506–510.

    MathSciNet  MATH  Google Scholar 

  4. Vershik A.M., Gershkovich V.Ya. Nonholonomic problem and distribution geometry. The addition to Russian translation of book "Differential forms and calculus of variations" by Griffits R.A.M., 1986.

    Google Scholar 

  5. Varchenko A.N. On the obstructions to local distribution equavalence. Math.Zametki, 1981, 29, N 6, 937–947 (in Russian).

    MathSciNet  Google Scholar 

  6. Bourbaki N. Eléments de Mathématique. Groupes et algèbresde Lie. Paris: Hermann, 1970.

    Google Scholar 

  7. Arnold V.I., Varchenko A.N., Gussein-sade S.M. The smooth map singularities, v.1,2, M.: Science, 1982, 1984 (in Russian).

    Google Scholar 

  8. BirkhoffG. Lattice theory. Providence, 1967.

    Google Scholar 

  9. Gershkovich V.Ya. The method of fine metric in nonholonomic problems.-New in Global analysis: Voronezh Univ.Press, 1985, 138–145. (in Russian).

    Google Scholar 

  10. Nagano T. Linear differential systems with singularities and an applications to transitive Lie algebras.-J.Math.Soc.Japan, 1966, 18

    Google Scholar 

  11. Vershik A.M., Gershkovich V.Ya. Nonholonomic dynamic system. Distribution geometry and calculus of variations. Modern problem in mathematics. Fundamental branches. Dynamic system.-7 VINITI, Acad.Sci USSR, 1967.

    Google Scholar 

  12. Sternberg A.M. Lectures on differential geometry.-Englewood, Cliffs.: Prentice-Hall, 1964.

    MATH  Google Scholar 

  13. Sussmann H.J. Orbits of families of vectorfields and integrabilities of distributions. Trans. Amer.Math.Soc., 1973, 180, 171–188.

    Article  MathSciNet  Google Scholar 

  14. Golubitsky M., Guillemin V. Stable mappings and their singularities, 1973.

    Google Scholar 

  15. Dirac P.A. Lectures on quantum mechanic.-N.Y.: Yeshiva Univ. Press, 1964.

    Google Scholar 

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Authors and Affiliations

  1. Lensystemotechnica, Leningrad

    V. Ya. Gershkovich

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  1. V. Ya. Gershkovich
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Oleg Yanovich Viro Anatoly Moiseevich Vershik

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© 1988 Springer-Verlag

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Gershkovich, V.Y. (1988). On normal form of distribution jets. In: Viro, O.Y., Vershik, A.M. (eds) Topology and Geometry — Rohlin Seminar. Lecture Notes in Mathematics, vol 1346. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082772

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  • DOI: https://doi.org/10.1007/BFb0082772

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  • Print ISBN: 978-3-540-50237-1

  • Online ISBN: 978-3-540-45958-3

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