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Mathematical Communications, Vol. 17 No. 1, 2012.

Original scientific paper

Umbilical hypersurfaces of Minkowski spaces

Jintang Li ; School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, P. R. China

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page 63-70

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Abstract

In this paper, by the Gauss equation of the induced Chern
connection for Finsler submanifolds, we prove that if M is an
umbilical hypersurface of a Minkowski space $(V^{n+1},
\overline{F})$, then either M is a Riemannian space form or a locally Minkowski space.

Keywords

Minkowski spaces; Finsler manifolds; Umbilical hypersurfaces

Hrčak ID:

82984

URI

https://hrcak.srce.hr/82984

Publication date:

12.6.2012.

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