Inequalities for scalar curvature of pseudo-Riemannian submanifolds

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

JOURNAL OF GEOMETRY AND PHYSICS, cilt.112, ss.74-84, 2017 (SCI-Expanded) identifier identifier

  • 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.