Screen Almost Semi-Invariant Lightlike Submanifolds of Indefinite Kaehler Manifolds

TL;DR

This paper introduces and studies screen almost semi-invariant lightlike submanifolds within indefinite Kaehler manifolds, providing conditions for metric connections, integrability, and characterizations, along with an example.

Contribution

It defines SASI-lightlike submanifolds in indefinite Kaehler manifolds and establishes conditions for metric connections and integrability, including an explicit example.

Findings

Necessary and sufficient conditions for the induced connection to be metric.

Conditions for integrability of distributions.

Constructed example of SASI-lightlike submanifold.

Abstract

In the present paper, we introduce screen almost semi-invariant (SASI) lightlike submanifolds of indefinite Keahler manifolds. We obtain the neccesary and sufficient condition for the induced connection to be a metric connection on SASI-lightlike submanifolds and construct an example for this manifold. Also we find some conditions for integrability of distributions and investigate certain characterizations.