Journal
JOURNAL OF GEOMETRIC ANALYSIS
Volume 23, Issue 3, Pages 1196-1212Publisher
SPRINGER
DOI: 10.1007/s12220-011-9283-z
Keywords
Ricci solitons; Gradient Ricci solitons; Lorentzian locally conformally flat manifolds
Categories
Funding
- [MTM2009-07756]
- [INCITE09 207 151 PR]
- [MTM2009-14464-C02-01]
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It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is nonnull, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.
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