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Rigidity Theorem for Hypersurfaces in a Unit Sphere
Authors:Guoxin Wei
Affiliation:(1) Tsinghua University, Beijing, P.R. China
Abstract:By investigating hypersurfaces M n in the unit sphere S n+1(1) with H k = 0 and with two distinct principal curvatures, we give a characterization of torus the $S^1(sqrt{k/n})times S^{n-1}(sqrt{(n-k)/n})$ . We extend recent results of Perdomo [9], Wang [10] and Otsuki [8].
Keywords:2000 Mathematics Subject Classification: 53C42
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