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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 94–97 (Mi ivm7871)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

The local geometry of Carnot manifolds at singular points

S. V. Selivanova

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Novosibirsk, Russia
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Abstract: In this paper we study the local geometry of Carnot manifolds in a neighborhood of a singular point in the case when horizontal vector fields are $2M$-smooth. Here $M$ is the depth of a Carnot manifold.
Keywords: Carnot manifold, singular point, tangent cone.
Presented by the member of Editorial Board: S. K. Vodopyanov
Received: 24.02.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 8, Pages 81–84
DOI: https://doi.org/10.3103/S1066369X11080135
Bibliographic databases:
Document Type: Article
UDC: 515.124+514.753
Language: Russian
Citation: S. V. Selivanova, “The local geometry of Carnot manifolds at singular points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 94–97; Russian Math. (Iz. VUZ), 55:8 (2011), 81–84
Citation in format AMSBIB
\Bibitem{Sel11}
\by S.~V.~Selivanova
\paper The local geometry of Carnot manifolds at singular points
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 8
\pages 94--97
\mathnet{http://mi.mathnet.ru/ivm7871}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919353}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 8
\pages 81--84
\crossref{https://doi.org/10.3103/S1066369X11080135}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051689165}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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