Screen Transversal Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

TL;DR

This paper explores the geometric properties of various lightlike submanifolds within Golden semi-Riemannian manifolds, focusing on conditions for metric connections and submanifold characterizations.

Contribution

It provides new characterizations and conditions for the geometry of specific lightlike submanifolds in Golden semi-Riemannian manifolds.

Findings

Necessary and sufficient conditions for metric connections on these submanifolds

Characterization of screen transversal anti-invariant lightlike submanifolds

Two illustrative examples provided

Abstract

The main purpose of the present paper is to study the geometry of screen transversal lightlike submanifolds and radical screen transversal lightlike submanifolds and screen transversal anti-invariant 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. We also obtain characterization of screen transversal anti-invariant lightlike submanifolds of Golden Semi- Riemannian manifolds. Finally, we give two examples.