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2-Killing vector fields on warped product manifolds

https://doi.org/10.1142/S0129167X15500652Cited by:28 (Source: Crossref)

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.

AMSC: 53C21, 53C25, 53C50, 53C80