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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 252, Pages 134–141 (Mi znsl697)  
This article is cited in 2 scientific papers (total in 2 papers)

Levi-Chivita connections on degenerate pseudo-Riemannian manifolds

S. E. Kozlov

Saint-Petersburg State University
Full-text PDF (166 kB) Citations (2)
Abstract: Smooth manifolds with bilinear symmetric degenerate form with constant signature in every tangent space are studied. Such manifolds are used in physics for constructing theories of united interactions including gravitation. Necessary and sufficient conditions for existence of a Levi-Chivita connection on such a manifold are established.
Received: 12.12.1997
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 4, Pages 1338–1342
DOI: https://doi.org/10.1023/A:1011390000002
Bibliographic databases:
UDC: 514.764.3
Language: Russian
Citation: S. E. Kozlov, “Levi-Chivita connections on degenerate pseudo-Riemannian manifolds”, Geometry and topology. Part 3, Zap. Nauchn. Sem. POMI, 252, POMI, St. Petersburg, 1998, 134–141; J. Math. Sci. (New York), 104:4 (2001), 1338–1342
Citation in format AMSBIB
\Bibitem{Koz98}
\by S.~E.~Kozlov
\paper Levi-Chivita connections on degenerate pseudo-Riemannian manifolds
\inbook Geometry and topology. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 252
\pages 134--141
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl697}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756719}
\zmath{https://zbmath.org/?q=an:0989.53045}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 4
\pages 1338--1342
\crossref{https://doi.org/10.1023/A:1011390000002}
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    • 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
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