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

作　　者：Menedore Karimumuryango Domitien Ndayirukiye Hans-Fotsing Tetsing Gilbert Nibaruta Aboubacar Nibirantiza Menedore Karimumuryango;Domitien Ndayirukiye;Hans-Fotsing Tetsing;Gilbert Nibaruta;Aboubacar Nibirantiza(Institut de Statistique Appliquée, Université du Burundi, Bujumbura, Burundi;Section des Mathématiques, Ecole Normale Supérieure, Bujumbura, Burundi;University of Douala, Douala, Cameroon;Institute of Applied Pedagogy, University of Burundi, Bujumbura, Burundi)

机构地区：[1]Institut de Statistique Appliquée, Université du Burundi, Bujumbura, Burundi [2]Section des Mathématiques, Ecole Normale Supérieure, Bujumbura, Burundi [3]University of Douala, Douala, Cameroon [4]Institute of Applied Pedagogy, University of Burundi, Bujumbura, Burundi

出　　处：《Journal of Applied Mathematics and Physics》2023年第7期1895-1913,共19页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Semi-Riemannian Submanifold SUBMANIFOLD RIGGING Closed Normalization Associated Semi-Riemannian Metric 

分 类 号：O17[理学—数学]