2-Killing vector fields on warped product manifolds

Date

2015

Authors

Shenawy, S.
Ünal, B.

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Abstract

This paper provides a study of 2-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 2-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 2-Killing vector fields are derived. Finally, we apply our results to describe 2-Killing vector fields of some well-known warped product space-time models. © 2015 World Scientific Publishing Company.

Source Title

International Journal of Mathematics

Publisher

World Scientific Publishing

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Published Version (Please cite this version)

Language

English