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Bull. Korean Math. Soc. 2009; 46(2): 321-329

Printed March 1, 2009

https://doi.org/10.4134/BKMS.2009.46.2.321

Copyright © The Korean Mathematical Society.

Linear Weingarten hypersurfaces in a unit sphere

Haizhong Li, Young Jin Suh, and Guoxin Wei

Tsinghua University, Kyungpook National University, Saga University

Abstract

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In this paper, we have considered linear Weingarten hypersurfaces in a sphere and obtained some rigidity theorems. The purpose of this paper is to give some extension of the results due to Cheng-Yau [3] and [7].

Keywords: linear Weingarten hypersurfaces, rigidity theorems, Cheng-Yau differential operator

MSC numbers: Primary 53C20; Secondary 53C42

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