The W-2-curvature tensor on warped product manifolds and applications
Date
2016-08
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Series Info
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS;Volume: 13 Issue: 7
Scientific Journal Rankings
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