The W2-curvature tensor on warped product manifolds and applications

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dc.citation.epage1650099-14en_US
dc.citation.issueNumber7en_US
dc.citation.spage1650099-1en_US
dc.citation.volumeNumber13en_US
dc.contributor.authorShenawy, S.en_US
dc.contributor.authorÜnal, B.en_US
dc.date.accessioned2018-04-12T11:06:21Z
dc.date.available2018-04-12T11:06:21Z
dc.date.issued2016en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractThe purpose of this paper is to study the W2-curvature tensor on (singly) warped product manifolds as well as on generalized Robertson-Walker and standard static space-times. Some different expressions of the W2-curvature tensor on a warped product manifold in terms of its relation with W2-curvature tensor on the base and fiber manifolds are obtained. Furthermore, we investigate W2-curvature flat warped product manifolds. Many interesting results describing the geometry of the base and fiber manifolds of a W2-curvature flat warped product manifold are derived. Finally, we study the W2-curvature tensor on generalized Robertson-Walker and standard static space-times; we explore the geometry of the fiber of these warped product space-time models that are W2-curvature flat. © 2016 World Scientific Publishing Company.en_US
dc.identifier.doi10.1142/S0219887816500997en_US
dc.identifier.eissn1793-6977
dc.identifier.issn0219-8878
dc.identifier.urihttp://hdl.handle.net/11693/37219
dc.language.isoEnglishen_US
dc.publisherWorld Scientific Publishingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1142/S0219887816500997en_US
dc.source.titleInternational Journal of Geometric Methods in Modern Physicsen_US
dc.subjectGeneralized Robertson-Walker space-timeen_US
dc.subjectStandard static space-timeen_US
dc.subjectW2 -curvatureen_US
dc.subjectwarped productsen_US
dc.titleThe W2-curvature tensor on warped product manifolds and applicationsen_US
dc.typeArticleen_US
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