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].
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Wei, G. Complete Hypersurfaces with Constant Mean Curvature in a Unit Sphere. Mh Math 149, 251–258 (2006). https://doi.org/10.1007/s00605-005-0377-1
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DOI: https://doi.org/10.1007/s00605-005-0377-1