Some inequalities for submanifolds in a Riemannian manifold of nearly quasi-constant curvature | Zendy

Man Su | Zendy; Liang Zhang | Zendy; Pan Zhang | Zendy

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Some inequalities for submanifolds in a Riemannian manifold of nearly quasi-constant curvature

Author(s) -

Man Su,

Liang Zhang,

Pan Zhang

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1708467s

Subject(s) - mathematics , scalar curvature , curvature , riemannian manifold , constant (computer programming) , pure mathematics , constant curvature , manifold (fluid mechanics) , prescribed scalar curvature problem , sectional curvature , mathematical analysis , riemann curvature tensor , geometry , mechanical engineering , computer science , engineering , programming language

In this paper, we derive a $DDVV$-type inequality for submianifolds in a Riemannian manifold of nearly quasi-constant curvature. Moreover, two inequalities involving the Casorati curvature and the scalar curvature are obtained.

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