EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 67(81), pp. 112--120 (2000)

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Rigidity theorems of hypersurfaces in a sphere

Li Haizhong

Department of Mathematics, Tsinghua University, Beijing 100084, China

Abstract: By the study of Cheng-Yau's self-adjoint operator $\square$, we prove two rigidity theorems for a class of $n$-dimensional hypersurfaces in the $(n+1)$-dimensional unit sphere $S^{n+1}$.

Classification (MSC2000): 53C42; 53A10

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Electronic fulltext finalized on: 21 Dec 2000. This page was last modified: 16 Nov 2001.

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