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arXiv · 1805.09576

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

Toru Sasahara
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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. 2018-05-24. Ricci curvature of real hypersurfaces in non-flat complex space forms. https://arxiv.org/abs/1805.09576

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