Linear Weingarten spacelike hypersurfaces in locally symmetric Lorentz space

Dan Yang

doi:10.4134/BKMS.2012.49.2.271

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Bull. Korean Math. Soc. 2012; 49(2): 271-284

Printed March 1, 2012

https://doi.org/10.4134/BKMS.2012.49.2.271

Linear Weingarten spacelike hypersurfaces in locally symmetric Lorentz space

Dan Yang

Shenyang University

Abstract

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Abstract

Let $M$ be a linear Weingarten spacelike hypersurface in a locally symmetric Lorentz space with $R=aH+b$, where $R$ and $H$ are the normalized scalar curvature and the mean curvature, respectively. In this paper, we give some conditions for the complete hypersurface $M$ to be totally umbilical.

Keywords: linear Weingarten, spacelike hypersurface, locally symmetric

MSC numbers: 53C42