Curvature-adapted submanifolds of semi-Riemannian groups

A Semi-Riemannian Manifold of Quasi-Constant Curvature with Half Lightlike Submanifolds

In this paper, we study the geometry of a semi-Riemannian manifold M̄ of quasi-constant curvature. The main result is two characterization theorems for M̄ endowed with a statical, screen homothetic or screen totally umbilical half lightlike submanifold M . Mathematics Subject Classification: 53C25, 53C40, 53C50

Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature

A Semi-Riemannian Manifold of Quasi-Constant Curvature Admits Lightlike Submanifolds

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we study the geometry of a semi-Riemannian manifold ¯ M of quasi-constant curvature. The main result is two characterization theorems for ¯ M admits solenoidal and screen totally umbilical r (> 1)-lightlike subm...

Null Sectional Curvature Pinching for Cr-lightlike Submanifolds of Semi-riemannian Manifolds

In this article we obtain the pinching of the null sectional curvature of CRlightlike submanifolds of an inde…nite Hermitian manifold. As a result of this inequality we conclude some non-existence results of such lightlike submanifolds.Moreover using the Index form we prove more non-existence results for CR-lightlike submanifolds. 1. Introduction The theory of submanifolds of a Riemannian or se...

A Semi-riemannian Manifold of Quasi-constant Curvature Admits Some Half Lightlike Submanifolds

In this paper, we study the curvature of a semi-Riemannian manifold M̃ of quasi-constant curvature admits some half lightlike submanifolds M . The main result is two characterization theorems for M̃ admits extended screen homothetic and statical half lightlike submanifolds M such that the curvature vector field of M̃ is tangent to M .