Shape Operator A_H for Slant Submanifolds in Generalized Complex Space Forms

Authors: ADELA MIHAI

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.

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

Full Text: PDF