Shenawy, SamehUnal, Bulent2019-12-172019-12-172015Cited References in Web of Science Core Collection: 320129-167Xhttps://doi.org/10.1142/S0129167X15500652http://yoksis.bilkent.edu.tr/pdf/files/11967.pdfAccession Number: WOS:000360582300001This 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.enUniversity for Warped product manifold2-Killing vector fieldparallel vector fieldsstandard static space-time and generalized Robertson-Walker space-timeArticlehttps://doi.org/10.1142/S0129167X15500652