Journals / Turkish Journal of Mathematics / 2003 / Cilt: 27 - Sayı: 4
Shape Operator AH for Slant Submanifolds in Generalized Complex Space Forms
- Pages
- 509–524
- DOI
- —
Abstract
In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms. Also a sharp relationship between the k-Ricci curvature and the shape operator AH is proved.
Özet
In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms. Also a sharp relationship between the k-Ricci curvature and the shape operator AH is proved.