A curvature condition for a twisted product to be a warped product

Authors
Fernandez-Lopez, M Garcia-Rio, E Kupeli, DN Unal, B
Citation
M. Fernandez-lopez et al., A curvature condition for a twisted product to be a warped product, MANUSC MATH, 106(2), 2001, pp. 213-217
Citations number
8
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
106
Issue
2
Year of publication
2001
Pages
213 - 217
Database
ISI
SICI code
0025-2611(200110)106:2<213:ACCFAT>2.0.ZU;2-R
Abstract
It is shown that a mixed Ricci-flat twisted product semi-Riemannian manifol d can be expressed as a warped product semi-Riemannian manifold. Asa conseq uence, any Einstein twisted product semi-Riemannian manifold is in fact, a warped product serni-Riemannian manifold.