Quasi Generalized CR-lightlike submanifolds of indefinite nearly Sasakian manifolds

TL;DR

This paper introduces and studies Quasi Generalized CR-lightlike submanifolds within indefinite nearly Sasakian manifolds, providing characterization theorems and conditions for integrability of distributions.

Contribution

It presents a new class of CR-lightlike submanifolds called QGCR-lightlike submanifolds and establishes their fundamental properties and integrability conditions.

Findings

Characterization theorems for QGCR-lightlike submanifolds

Necessary and sufficient conditions for distribution integrability

Introduction of a new submanifold class in indefinite nearly Sasakian manifolds

Abstract

In this paper, we introduce and study a new class of CR-lightlike submanifold of an indefinite nearly Sasakian manifold, called Quasi Generalized Cauchy-Riemann (QGCR) lightlike submanifold. We give some characterization theorems for the existence of QGCR-lightlike submanifolds and finally derive necessary and sufficient conditions for some distributions to be integrable.