SHAPE OPERATOR OF SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS

Title & Authors
SHAPE OPERATOR OF SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS
Kim, Young-Ho; Lee, Chul-Woo; Yoon, Dae-Won;

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 $\small{\varphi-sectional}$ curvature with arbitrary codimension.
Keywords
mean curvature;sectional curvature;shape operator;k-Ricci curvature;Sasakian space forms;
Language
English
Cited by
1.
SOME INEQUALITIES ON TOTALLY REAL SUBMANIFOLDS IN LOCALLY CONFORMAL KAEHLER SPACE FORMS,;;;

대한수학회지, 2004. vol.41. 5, pp.795-808
1.
SOME INEQUALITIES ON TOTALLY REAL SUBMANIFOLDS IN LOCALLY CONFORMAL KAEHLER SPACE FORMS, Journal of the Korean Mathematical Society, 2004, 41, 5, 795
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