On Warped Product Super Generalized Recurrent Manifolds
Differential Geometry
2015-04-14 v1
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.
Keywords
Cite
@article{arxiv.1504.03271,
title = {On Warped Product Super Generalized Recurrent Manifolds},
author = {Absos Ali Shaikh and Haradhan Kundu and Md. Showkat Ali},
journal= {arXiv preprint arXiv:1504.03271},
year = {2015}
}
Comments
The paper contains 14 pages. We highly appreciate valuable comments from the interested researchers