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Shangrong Deng (2009)
AN IMPROVED CHEN-RICCI INEQUALITY
- 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 Mathematics – Springer Journals
Published: Jun 1, 2018