Bulletin of the Korean Mathematical Society ( Vol.42 NO.1 / 2005 ) Title Shape operator $A_{H}$ for slant submanifolds in generalized complex space forms(eng) Author Dong-Soo Kim ,Young Ho Kim ,Chul Woo Lee  MSC 53B25, 53C55 Publication Page 189-201 Page Abstract 1. Introduction 2. Preliminaries 3. Sectional curvature and shape operator 4. $k$-Ricci curvature and shape operator Own Status Keyword shape operator, scalar curvature, squared mean curvature, $k$-Ricci curvature, generalized complex space form, complex space form, real space form, slant submanifold, invariant and anti-invariant submanifold. Note Summary In this article, we establish relations between the sectional curvature function $K$ and the shape operator, and also relationship between the $k$-Ricci curvature and the shape operator for slant submanifolds in generalized complex space forms with arbitrary codimension. Attach DVI  PDF