Ricci curvature of real hypersurfaces in non-flat complex space forms
Differential Geometry
2018-05-25 v1
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.
Keywords
Cite
@article{arxiv.1805.09576,
title = {Ricci curvature of real hypersurfaces in non-flat complex space forms},
author = {Toru Sasahara},
journal= {arXiv preprint arXiv:1805.09576},
year = {2018}
}
Comments
11 pages