Riemannian manifolds admitting a projective semi-symmetric connection

TL;DR

This paper investigates the properties of Riemannian manifolds that are equipped with a specific type of connection called a projective semi-symmetric connection, exploring their geometric structure and characteristics.

Contribution

It introduces and analyzes the properties of Riemannian manifolds with a novel projective semi-symmetric connection, expanding understanding of such geometric structures.

Findings

Characterization of Riemannian manifolds with projective semi-symmetric connections

Conditions under which these manifolds exhibit certain curvature properties

Potential classifications based on connection properties

Abstract

The aim of the present paper is to study the properties of Riemannian manifolds equipped with a projective semi-symmetric connection.