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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 4, Pages 160–170 (Mi uzku773)  
Connections on a Hypersurface in a Projectively Metric Space

A. V. Stolyarov

Chuvash State Pedagogical University, Cheboksary
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Abstract: We study intrinsic geometry of hypersurfaces embedded into a projectively metric space $K_n$, $n\ge3$, and normalized in the sense of A. P. Norden and E. Cartan. We construct affine and projective connections on $V_{n-1}$ induced by normalizations of the indicated types and find conditions under which the induced connections are flat.
Keywords: projectively metric space, duality, normalizations of a hypersurface, affinely connected space, projectively connected space, space of constant curvature.
Received: 02.09.2009
Document Type: Article
UDC: 514.756
Language: Russian
Citation: A. V. Stolyarov, “Connections on a Hypersurface in a Projectively Metric Space”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 4, Kazan University, Kazan, 2009, 160–170
Citation in format AMSBIB
\Bibitem{Sto09}
\by A.~V.~Stolyarov
\paper Connections on a~Hypersurface in a~Projectively Metric Space
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 4
\pages 160--170
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku773}
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