Keywords
- Normal Form
- General Position
- Growth Defect
- Dimensional Distribution
- Distribution Versus
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References
Vershik A.M., Faddeev L.D. Lagrange mechanic in invariant form. Selecta Math.Sov., 1984, 1:4, 339–350.
Vershik A.M. Classical and not classical dynamics with connections. Lecture Notes in Math., 1984, 1108, Global Analysis-Studies appl, 278–301.
Gershkovich V.Ya. Two-sides estimates of metric generated by absolutely nonholonomic distributions.-Sovjet.Mathem.Dokl., 30, 1984, N 2, 506–510.
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.
Varchenko A.N. On the obstructions to local distribution equavalence. Math.Zametki, 1981, 29, N 6, 937–947 (in Russian).
Bourbaki N. Eléments de Mathématique. Groupes et algèbresde Lie. Paris: Hermann, 1970.
Arnold V.I., Varchenko A.N., Gussein-sade S.M. The smooth map singularities, v.1,2, M.: Science, 1982, 1984 (in Russian).
BirkhoffG. Lattice theory. Providence, 1967.
Gershkovich V.Ya. The method of fine metric in nonholonomic problems.-New in Global analysis: Voronezh Univ.Press, 1985, 138–145. (in Russian).
Nagano T. Linear differential systems with singularities and an applications to transitive Lie algebras.-J.Math.Soc.Japan, 1966, 18
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.
Sternberg A.M. Lectures on differential geometry.-Englewood, Cliffs.: Prentice-Hall, 1964.
Sussmann H.J. Orbits of families of vectorfields and integrabilities of distributions. Trans. Amer.Math.Soc., 1973, 180, 171–188.
Golubitsky M., Guillemin V. Stable mappings and their singularities, 1973.
Dirac P.A. Lectures on quantum mechanic.-N.Y.: Yeshiva Univ. Press, 1964.
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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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