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.