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- Publisher
- Springer Journals
- Copyright
- Copyright © 2013 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0020-9910
- eISSN
- 1432-1297
- DOI
- 10.1007/s00222-013-0457-0
- Publisher site
- See Article on Publisher Site
Abstract
Let (M,g) be a three-dimensional steady gradient Ricci soliton which is non-flat and κ-noncollapsed. We prove that (M,g) is isometric to the Bryant soliton up to scaling. This solves a problem mentioned in Perelman’s first paper.
Journal
Inventiones mathematicae – Springer Journals
Published: Feb 13, 2013