Ricci curvature of real hypersurfaces in non-flat complex space forms

Published 24 May 2018 in math.DG | (1805.09576v1)

Abstract: We establish an inequality among the Ricci curvature, the squared mean curvature, and the normal curvature for real hypersurfaces in complex space forms. We classify real hypersurfaces in two-dimensional non-flat complex space forms which admit a unit vector field satisfying identically the equality case of the inequality.

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Toru Sasahara

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