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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 172, Pages 21–40 (Mi znsl4478)  
This article is cited in 10 scientific papers (total in 11 papers)

A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization)

A. M. Vershik, V. Ya. Gershkovich
Full-text PDF (985 kB) Citations (11)
Abstract: On the tangent bundle of a non-holonomic manifold a canonical structure of a nilpotent Lie algebras bundle is introduced. The local ring of the non-holonomic manifold is interpreted as a ring of quasi-jets. This constructions are used to unify and simplify some results of non-holonomic geometry.
English version:
Journal of Soviet Mathematics, 1992, Volume 59, Issue 5, Pages 1040–1053
DOI: https://doi.org/10.1007/BF01480685
Bibliographic databases:
Document Type: Article
UDC: 514.763
Language: Russian
Citation: A. M. Vershik, V. Ya. Gershkovich, “A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization)”, Differential geometry, Lie groups and mechanics. Part 10, Zap. Nauchn. Sem. LOMI, 172, "Nauka", Leningrad. Otdel., Leningrad, 1989, 21–40; J. Soviet Math., 59:5 (1992), 1040–1053
Citation in format AMSBIB
\Bibitem{VerGer89}
\by A.~M.~Vershik, V.~Ya.~Gershkovich
\paper A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization)
\inbook Differential geometry, Lie groups and mechanics. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 172
\pages 21--40
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4478}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015696}
\zmath{https://zbmath.org/?q=an:0780.58004|0705.58004}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 59
\issue 5
\pages 1040--1053
\crossref{https://doi.org/10.1007/BF01480685}
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  • https://www.mathnet.ru/eng/znsl/v172/p21
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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