On the $(1,1)-$tensor bundle with Cheeger-Gromoll type metric

TL;DR

This paper constructs Riemannian almost product structures on the (1,1)-tensor bundle with a Cheeger-Gromoll type metric and explores their properties, contributing to the geometric understanding of tensor bundles.

Contribution

It introduces new Riemannian almost product structures on the (1,1)-tensor bundle with a Cheeger-Gromoll type metric, expanding the geometric framework of tensor bundles.

Findings

Construction of Riemannian almost product structures

Results on properties of these structures

Insights into tensor bundle geometry

Abstract

The main purpose of the present paper is to construct Riemannian almost product structures on the $(1,1)-$tensor bundle equipped with Cheeger-Gromoll type metric over a Riemannian manifold and present some results concerning with these structures.