Article citationsMore>>

Chen, B.-Y. (1999) Relations between Ricci Curvature and Shape Operator for Sub-Manifolds with Arbitrary Codimensions. Glasgow Mathematical Journal, 41, 33-41.
https://doi.org/10.1017/S0017089599970271

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.