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This article is cited in 1 scientific paper (total in 1 paper)
On the cylindricity of submanifolds containing a line in Minkowski space
A. A. Borisenko Sumy State University
Abstract:
We consider Finsler submanifolds in Minkowski spaces, and in particular, in Randers spaces. We give generalizations of the Toponogov and Cheeger-Gromoll theorems to the case of Randers spaces. Sufficient conditions are obtained for
complete Finsler submanifolds in Minkowski spaces to be cylindrical. We also find conditions under which the convexity of a hypersurface in a Randers space implies that the flag curvature is positive.
Bibliography: 17 titles.
Keywords:
flag curvature, Ricci curvature, Finsler metric, Riemannian metric, external zero-index, distribution.
Received: 14.01.2014 and 01.04.2014
Citation:
A. A. Borisenko, “On the cylindricity of submanifolds containing a line in Minkowski space”, Mat. Sb., 205:7 (2014), 25–42; Sb. Math., 205:7 (2014), 936–952
Linking options:
https://www.mathnet.ru/eng/sm8327https://doi.org/10.1070/SM2014v205n07ABEH004404 https://www.mathnet.ru/eng/sm/v205/i7/p25
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Abstract page: | 377 | Russian version PDF: | 164 | English version PDF: | 7 | References: | 42 | First page: | 31 |
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