Published January 1, 2017
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Inequalities for scalar curvature of pseudo-Riemannian submanifolds
- 1. Siirt Univ, Fac Arts & Sci, Dept Math, TR-56100 Siirt, Turkey
- 2. Inonu Univ, Fac Arts & Sci, Dept Math, TR-44280 Malatya, Turkey
Description
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. (C) 2016 Elsevier B.V. All rights reserved.
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