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 Shape operator $A_{H}$ for slant submanifolds in generalized complex space forms Bull. Korean Math. Soc. 2005 Vol. 42, No. 1, 189-201 Published online March 1, 2005 Dong-Soo Kim, Young Ho Kim, and Chul Woo Lee Chonnam National University, Kyungpook National University, Kyungpook National University Abstract : 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. Keywords : 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 MSC numbers : 53B25, 53C55 Downloads: Full-text PDF