On super generalized recurrent manifolds
Differential Geometry
2015-04-13 v1
Abstract
To generalize the notion of recurrent manifold, there are various recurrent like conditions in the literature. In this paper we present a recurrent like structure, namely, \textit{super generalized recurrent manifold}, which generalizes both the hyper generalized recurrent manifold and weakly generalized recurrent manifold. The main object of the present paper is to study the geometric properties of super generalized recurrent manifold. Finally to ensure the existence of such structure we present a proper example by a suitable metric.
Cite
@article{arxiv.1504.02535,
title = {On super generalized recurrent manifolds},
author = {Absos Ali Shaikh and Indranil Roy and Haradhan Kundu},
journal= {arXiv preprint arXiv:1504.02535},
year = {2015}
}
Comments
It contains 15 pages and we invite all the interest researchers for their valuable comments