Archiv der Mathematik · 2003 · 11 citations · 7 references
Natural SciencesPhysicsGeometryGravitationCurved SpacetimeDifferential GeometryLow-dimensional GeometryRiemannian GeometrySpacetime GeometrySpherical GeometryConstant Negative CurvatureDifferential Geometry FormulationRicci CurvatureRicci TensorScalar Curvature
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.
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