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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 5, Pages 68–72 (Mi ivm1409)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Cartan connection and its geodesics on a manifold of nondegenerate affinor fields

E. M. Romanova

Kazan State Finance Economic Institute
Full-text PDF (137 kB) Citations (2)
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Abstract: We consider the quotient manifold of the manifold of nondegenerate affinor fields on a compact manifold with respect to the action of the group of nowhere vanishing functions. On this manifold, we construct a Cartan connection and find its torsion tensor. We also find the geodesics of the Cartan connection.
Keywords: infinite-dimensional differentiable manifold, Lie group, Lie algebra, linear connection, Cartan connection, torsion tensor, geodesic.
Received: 26.02.2008
Revised: 20.11.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 5, Pages 59–62
DOI: https://doi.org/10.3103/S1066369X09050089
Bibliographic databases:
Document Type: Article
UDC: 514.763
Language: Russian
Citation: E. M. Romanova, “Cartan connection and its geodesics on a manifold of nondegenerate affinor fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 5, 68–72; Russian Math. (Iz. VUZ), 53:5 (2009), 59–62
Citation in format AMSBIB
\Bibitem{Rom09}
\by E.~M.~Romanova
\paper Cartan connection and its geodesics on a~manifold of nondegenerate affinor fields
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 5
\pages 68--72
\mathnet{http://mi.mathnet.ru/ivm1409}
\zmath{https://zbmath.org/?q=an:1179.53016}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 5
\pages 59--62
\crossref{https://doi.org/10.3103/S1066369X09050089}
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  • https://www.mathnet.ru/eng/ivm/y2009/i5/p68
    • This publication is cited in the following 2 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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