Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms

Authors : Lm FERNÁNDEZ, Am FUENTES

Pages : 59-74

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Publication Date : 2015-02-01

Article Type : Research Paper

Abstract :We establish some inequalities of Chen’s type between certain intrinsic invariants insert ignore into journalissuearticles values(involving sectional, Ricci and scalar curvatures); and the squared mean curvature of submanifolds tangent to the structure vector fields of a generalized $S$-space-form and we discuss the equality cases of them. We apply the obtained results to slant submanifolds.
Keywords : Generalized S space form, intrinsic invariant, slant submanifold