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http://dx.doi.org/10.4134/BKMS.2003.40.1.063

SHAPE OPERATOR OF SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS  

Kim, Young-Ho (Department Of Mathematics, Kyungpook National University)
Lee, Chul-Woo (Department Of Mathematics, Kyungpook National University)
Yoon, Dae-Won (Department Of Mathematics, Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 63-76 More about this Journal
Abstract
In this article, we establish relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a slant submanifold in a Sasakian space form of constant $\varphi-sectional$ curvature with arbitrary codimension.
Keywords
mean curvature; sectional curvature; shape operator; k-Ricci curvature; Sasakian space forms;
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