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Ricci Curvature of Real Hypersurfaces in Non-flat Complex Space Forms

Ricci Curvature of Real Hypersurfaces in Non-flat Complex Space Forms 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

Ricci Curvature of Real Hypersurfaces in Non-flat Complex Space Forms

Mediterranean Journal of Mathematics , Volume 15 (3) – Jun 1, 2018

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
DOI
10.1007/s00009-018-1183-z
Publisher site
See Article on Publisher Site

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.

Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: Jun 1, 2018

References