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On the Ricci curvature of a hypersurface in a space form

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Abstract

We give an estimate for the Ricci curvature of a complete hypersurface M in a hyperbolic space H and in a sphere S under the same condition. As its application, we give the condition for unboundedness of a complete hypersurface M.

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Erdoğan, M. On the Ricci curvature of a hypersurface in a space form. Geom Dedicata 61, 221–225 (1996). https://doi.org/10.1007/BF00150024

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