Original scientific paper

Umbilical hypersurfaces of Minkowski spaces

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

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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