On Warped Product Super Generalized Recurrent Manifolds

TL;DR

This paper characterizes warped product semi-Riemannian manifolds with super generalized recurrent structures, providing necessary and sufficient conditions for various recurrent-like structures and illustrating with a specific example.

Contribution

It introduces the concept of warped product super generalized recurrent manifolds and establishes their characterization and related conditions.

Findings

Characterization of warped product semi-Riemannian manifolds with super generalized recurrent structure

Necessary and sufficient conditions for various recurrent-like structures

An explicit example of a warped product super generalized recurrent manifold

Abstract

The object of the present paper is to obtain the characterization of a warped product semi-Riemannian manifold with a special type of recurrent like structure, called super generalized recurrent. As consequence of this result we also find out the necessary and sufficient conditions for a warped product manifold to satisfy some other recurrent like structures such as weakly generalized recurrent manifold, hyper generalized recurrent manifold etc. Finally as a support of the main result, we present an example of warped product super generalized recurrent manifold.