Article citationsMore>>

Tripathi, M.M. (2003) Certain Basic Inequalities for Submanifolds in (K, μ) Space. Recent Advances in Riemannian and Lorentzian Geometries Baltimore, 187-202.
https://doi.org/10.1090/conm/337/06061

has been cited by the following article:

• TITLE: Inequalities for Scalar Curvature and Shape Operator of an R-Lightlike Submanifold in Semi-Riemannian Manifold

  AUTHORS: Menedore Karimumuryango, Domitien Ndayirukiye, Hans-Fotsing Tetsing, Gilbert Nibaruta, Aboubacar Nibirantiza

  KEYWORDS: Semi-Riemannian Submanifold, Submanifold, Rigging, Closed Normalization, Associated Semi-Riemannian Metric

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.7, July 21, 2023

  ABSTRACT: We establish the links between the lightlike geometry and basics invariants of the associated semi-Riemannian geometry on r-lightlike submanifold and semi-Riemannian constructed from a semi-Riemannian ambient. Then we establish some basic inequalities, involving the scalar curvature and shape operator on r-lightlike coisotropic submanifold in semi-Riemannian manifold. Equality cases are also discussed.