Rigidity theorems of hypersurfaces in locally symmetric Riemannian manifold

Zhang, Shicheng; Wu, Baoqiang

doi:10.1090/S0002-9939-2013-11780-6

Rigidity theorems of hypersurfaces in locally symmetric Riemannian manifold
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by Shicheng Zhang and Baoqiang Wu

Proc. Amer. Math. Soc. 141 (2013), 4015-4025

DOI: https://doi.org/10.1090/S0002-9939-2013-11780-6

Published electronically: July 12, 2013

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Abstract:

In this paper, the linear Weingarten hypersurfaces in a locally symmetric Riemannian manifold are investigated and the rigidity theorems are proved by the operator $\Box$ introduced by S. Y. Cheng and S. T. Yau, which is a generalization of main results obtained by several authors.

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