Bull. Korean Math. Soc. 2012; 49(2): 271-284
Printed March 1, 2012
https://doi.org/10.4134/BKMS.2012.49.2.271
Copyright © The Korean Mathematical Society.
Dan Yang
Shenyang University
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
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