Transversal Lightlike Submanifolds of Golden Semi Riemannian Manifolds

TL;DR

This paper explores the geometry of specific lightlike submanifolds within Golden Semi-Riemannian manifolds, focusing on their distributions and conditions for metric connections, advancing understanding in differential geometry.

Contribution

It introduces the study of radical transversal and transversal lightlike submanifolds in Golden Semi-Riemannian manifolds, providing new geometric conditions and insights.

Findings

Conditions for metric connections on these submanifolds

Characterization of distributions in lightlike submanifolds

Extension of geometric theory in Golden structures

Abstract

The Golden Ratio is fascinating topic that continually generated news ideas. A Riemannian manifold endowed with a Golden Structure will be called a Golden Riemannian manifold. The main purpose of the present paper is to study the geometry of radical transversal lightlike submanifolds and transversal lightlike submanifolds of Golden Semi-Riemannian manifolds. We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be metric connection.