Abstract

In this article, we establish an inequality between the sectional curvature function K and the shape operator A_H 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 A_H is proved.

DOI

Keywords

Shape operator, slant submanifolds, generalized complex space form, k-Ricci curvature

First Page

509

Last Page

524

Recommended Citation

MIHAI, A (2003). Shape Operator A_H for Slant Submanifolds in Generalized Complex Space Forms. Turkish Journal of Mathematics 27 (4): 509-524. https://doi.org/-

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