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Complete Hypersurfaces with Constant Mean Curvature in a Unit Sphere

Authors:	Guoxin Wei

Institution:	(1) Tsinghua University, P.R. China

Abstract:	By investigating hypersurfaces M ⁿ in the unit sphere S ⁿ⁺¹(1) with constant mean curvature and with two distinct principal curvatures, we give a characterization of the torus S ¹(a) × $S^{n-1}(\sqrt{1-a^2})$ , where $a^2=\frac{2+nH^2\pm\sqrt{n^2H^4+4(n-1)H^2}}{2n(1+H^2)}$ . We extend recent results of Hasanis et al. 5] and Otsuki 10].

Keywords:	2000 Mathematics Subject Classification: 53C42
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