Linear Weingarten hypersurfaces in a unit sphere
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Abstract:
In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {em Math. Ann.} {305} (1996), 665--672].
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linear weingarten hypersurfaces in a unit sphere
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Journal title
volume 41 issue 2
pages 353- 362
publication date 2015-04-01
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