Published May 19, 2006 | Version v1
Journal article

Warped products and Einstein metrics

Creators

  • 1. Department of Mathematics Education, Inha University, Incheon 402-751 (Korea, Republic of)

Description

Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial Einstein warped product, and noncompact complete base manifolds which do not admit any non-trivial Ricci-flat Einstein warped product. (letter to the editor)

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/39/L329/a6_20_l06.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
39
Journal Issue
20
Journal Page Range
p. L329-L333
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37051055
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EINSTEIN FIELD EQUATIONS; MATHEMATICAL LOGIC; MATHEMATICAL MANIFOLDS; METRICS; TOPOLOGY
Descriptors DEC
EQUATIONS; FIELD EQUATIONS; MATHEMATICS