$2-$Killing Vector Fields on Warped Product Manifolds
Differential Geometry
2019-12-04 v2
Abstract
The present article provides a study of Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson-Walker space-times. Some conditions for a Killing vector field on a warped product manifold to be parallel are obtained. Moreover, some results on the curvature of a warped product manifolds in terms of Killing vector fields are derived. Finally, we apply our results to describe Killing vector fields of some well known warped product space-time models.
Keywords
Cite
@article{arxiv.1411.6207,
title = {$2-$Killing Vector Fields on Warped Product Manifolds},
author = {Sameh Shenawy and Bulent Unal},
journal= {arXiv preprint arXiv:1411.6207},
year = {2019}
}
Comments
13 pages, no figures