Hypersurfaces of the Euclidean sphere with nonnegative Ricci curvature
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In this paper we prove that a compact oriented hypersurface of a Euclidean sphere with nonnegative Ricci curvature and infinite fundamental group is isometric to an H(r)-torus with constant mean curvature. Furthermore, we generalize, whithout any hypothesis about the mean curvature, a characterization of Clifford torus due to Hasanis and Vlachos.
Mathematics Subject Classification (1991):Primary 53C42 Secondary 53B30 and 53C50
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