Slant submanifolds of Golden Riemannian manifolds

TL;DR

This paper investigates the properties and characterizations of slant submanifolds within Golden Riemannian manifolds, introducing new results and providing concrete examples of such submanifolds.

Contribution

It introduces new theoretical results on slant submanifolds in Golden Riemannian manifolds and characterizes their properties with explicit examples.

Findings

Derived new results for submanifolds with Golden structure

Characterized slant submanifolds in Golden Riemannian manifolds

Provided explicit non-trivial examples of slant submanifolds

Abstract

In this paper, we study slant submanifolds of Riemannian manifolds with Golden structure. A Riemannian manifold $(\tilde{M},\tilde{g},{\varphi})$ is called a Golden Riemannian manifold if the $(1,1)$ tensor field ${\varphi}$ on $\tilde{M}$ is a golden structure, that is ${\varphi}^{2}={\varphi}+I$ and the metric $\tilde{g}$ is ${\varphi}-$ compatible. First, we get some new results for submanifolds of a Riemannian manifold with Golden structure. Later we characterize slant submanifolds of a Riemannian manifold with Golden structure and provide some non-trivial examples of slant submanifolds of Golden Riemannian manifolds.