Inequalities for scalar curvature of pseudo-Riemannian submanifolds

TRIPATHI, Mukut; Gulbahar, Mehmet; KILIÇ, EROL; KELEŞ, SADIK

doi:10.1016/j.geomphys.2016.10.022

Inequalities for scalar curvature of pseudo-Riemannian submanifolds

TRIPATHI M. M., Gulbahar M., KILIÇ E., KELEŞ S.

JOURNAL OF GEOMETRY AND PHYSICS, vol.112, pp.74-84, 2017 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 112
Publication Date: 2017
Doi Number: 10.1016/j.geomphys.2016.10.022
Journal Name: JOURNAL OF GEOMETRY AND PHYSICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.74-84
Inonu University Affiliated: Yes

Abstract

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.