Published December 25, 2005
| Version v1
Journal article
A non-existence result for compact Einstein warped products
Creators
- 1. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261 (Saudi Arabia)
Description
Warped products provide a rich class of physically significant geometric objects. The existence of compact Einstein warped products was questioned in Besse (1987 Einstein Manifolds, section 9.103). It is shown that there exists a metric on every compact manifold B such that (non-trivial) Einstein warped products, with base B, cannot be constructed. (letter to the editor)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/L791/a5_47_l01.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/L791/a5_47_l01.pdf;
- DOI
- 10.1088/0305-4470/38/47/L01;
- PII
- S0305-4470(05)08698-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 47
- Journal Page Range
- p. L791-L793
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37048533
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EINSTEIN FIELD EQUATIONS; GEOMETRY; MATHEMATICAL MANIFOLDS; MEASURE THEORY; METRICS; TOPOLOGY
- Descriptors DEC
- EQUATIONS; FIELD EQUATIONS; MATHEMATICS