Some basic inequalities for submanifolds of nearly quasi-constant curvature manifolds

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Tarih

2014

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Yayıncı

Differential Geometry and Dinamical Systems

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Certain basic inequalities involving the squared mean curvature and one of the Ricci curvature, the scalar curvature and the sectional curvature for a submanifold of quasi-constant curvature manifolds and nearly quasi-constant curvature manifolds are obtained. Equality cases are also discussed.

Açıklama

Anahtar Kelimeler

Quasi-constant curvature manifold; nearly quasi-constant curvature manifold; Ricci curvature; scalar curvature

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