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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 84–87 (Mi ivm7308)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

An example of a Carnot manifold with $C^1$-smooth basis vector fields

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
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Abstract: In this paper we construct an example of a Carnot manifold whose basis vector fields are of class $C^1$ but not of class $C^2$.
Keywords: Carnot manifold, commutator of vector fields.
Presented by the member of Editorial Board: S. K. Vodopyanov
Received: 22.11.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 70–73
DOI: https://doi.org/10.3103/S1066369X11050124
Bibliographic databases:
Document Type: Article
UDC: 517.18
Language: Russian
Citation: M. B. Karmanova, “An example of a Carnot manifold with $C^1$-smooth basis vector fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 84–87; Russian Math. (Iz. VUZ), 55:5 (2011), 70–73
Citation in format AMSBIB
\Bibitem{Kar11}
\by M.~B.~Karmanova
\paper An example of a~Carnot manifold with $C^1$-smooth basis vector fields
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 84--87
\mathnet{http://mi.mathnet.ru/ivm7308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920094}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 70--73
\crossref{https://doi.org/10.3103/S1066369X11050124}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051629310}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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