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http://dx.doi.org/10.4134/BKMS.2005.42.1.189

SHAPE OPERATOR AH FOR SLANT SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS  

KIM, DONG-SOO (Department of Mathematics, Chonnam National University)
KIM, YOUNG-HO (Department of Mathematics, Kyungpook National University)
LEE, CHUL-WOO (Department of Mathematics, Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.1, 2005 , pp. 189-201 More about this Journal
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 submanifild;
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