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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 7, Pages 39–44 (Mi ivm1650)  
This article is cited in 2 scientific papers (total in 2 papers)

The manifold of non-degenerate affinor fields

E. M. Romanova

Kazan State Technological University
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Abstract: We consider the quotient set of the set of nondegenerate affinor fields with respect to the action of the group of nowhere vanishing functions. This set is endowed with a structure of infinite-dimensional Lie group. On this Lie group, we construct an object of linear connection with respect to which all left-invariant vector fields are covariantly constant (the Cartan connection).
Keywords: Lie group, Lie algebra, linear connection, Cartan connection.
Received: 05.06.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 7, Pages 33–37
DOI: https://doi.org/10.3103/S1066369X08070050
Bibliographic databases:
UDC: 515.164:514.763
Language: Russian
Citation: E. M. Romanova, “The manifold of non-degenerate affinor fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 7, 39–44; Russian Math. (Iz. VUZ), 52:7 (2008), 33–37
Citation in format AMSBIB
\Bibitem{Rom08}
\by E.~M.~Romanova
\paper The manifold of non-degenerate affinor fields
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 7
\pages 39--44
\mathnet{http://mi.mathnet.ru/ivm1650}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2467444}
\zmath{https://zbmath.org/?q=an:1179.53015}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 7
\pages 33--37
\crossref{https://doi.org/10.3103/S1066369X08070050}
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    • This publication is cited in the following 2 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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