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Bull. Korean Math. Soc. 2003; 40(1): 63-76
Printed March 1, 2003
Copyright © The Korean Mathematical Society.
Shape operator of slant submanifolds in Sasakian space forms
Young Ho Kim, Chul Woo Lee, and Dae Won Yoon
Kyungpook National University, Kyungpook National University, Kyungpook National University
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
MSC numbers: 53C40, 53C50
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