The W-2-curvature tensor on warped product manifolds and applications

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Date

2016-08

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Type

Article

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD

Series Info

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS;Volume: 13 Issue: 7

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Abstract

The purpose of this paper is to study the W-2-curvature tensor on (singly) warped product manifolds as well as on generalized Robertson-Walker and standard static space-times. Some different expressions of the W-2-curvature tensor on a warped product manifold in terms of its relation with W-2-curvature tensor on the base and fiber manifolds are obtained. Furthermore, we investigate W-2-curvature flat warped product manifolds. Many interesting results describing the geometry of the base and fiber manifolds of a W-2-curvature flat warped product manifold are derived. Finally, we study the W-2-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 W-2-curvature flat.

Description

Accession Number: WOS:000382164300014

Keywords

University for CURVATURE, GEOMETRY, ROBERTSON-WALKER SPACETIMES, warped products, generalized Robertson-Walker space-time, standard static space-time, W-2-curvature

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