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Shape operator of slant submanifolds in Sasakian space forms

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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.

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.

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