Inequalities for scalar curvature of pseudo-Riemannian submanifolds

Some basic inequalities, involving the scalar curvature and the mean curvature, for a pseudo-Riemannian submanifold of a pseudo-Riemannian manifold are obtained. We also find inequalities for spacelike submanifolds. Equality cases are also discussed.

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Bibliographic Details
Published inJournal of geometry and physics Vol. 112; pp. 74 - 84
Main Authors Tripathi, Mukut Mani, Gülbahar, Mehmet, Kılıç, Erol, Keleş, Sadık
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.02.2017
Subjects
Indefinite real space form
Pseudo-Riemannian manifold
Pseudo-Riemannian submanifold
Spacelike submanifold
Spacelike submanifold
Pseudo-Riemannian submanifold
Indefinite real space form
53C40
Pseudo-Riemannian manifold
53C25
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Summary:Some basic inequalities, involving the scalar curvature and the mean curvature, for a pseudo-Riemannian submanifold of a pseudo-Riemannian manifold are obtained. We also find inequalities for spacelike submanifolds. Equality cases are also discussed.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2016.10.022