Rigidity theorems for compact hypersurfaces in locally symmetric Riemannian manifolds

Zhang, Shicheng

doi:10.1090/proc/13562

Rigidity theorems for compact hypersurfaces in locally symmetric Riemannian manifolds
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Proc. Amer. Math. Soc. 145 (2017), 4485-4492 Request permission

Abstract:

In this paper, we prove some rigidity theorems for compact hypersurfaces without the constancy condition on the mean curvature or the scalar curvature in locally symmetric Riemannian manifolds.

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