Inequalities for scalar curvature of pseudo-Riemannian submanifolds
JOURNAL OF GEOMETRY AND PHYSICS, cilt.112, ss.74-84, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 112
- Basım Tarihi: 2017
- Doi Numarası: 10.1016/j.geomphys.2016.10.022
- Dergi Adı: JOURNAL OF GEOMETRY AND PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.74-84
- İnönü Üniversitesi Adresli: Evet
Özet
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.