The Sasaki-Ricci flow
- authored by
- Knut Smoczyk, Guofang Wang, Yongbing Zhang
- Abstract
In this paper, we introduce the SasakiRicci flow to study the existence of η-Einstein metrics. In the positive case any η-Einstein metric can be homothetically transformed to a SasakiEinstein metric. Hence it is an odd-dimensional counterpart of the KählerRicci flow. We prove its well-posedness and long-time existence. In the negative or null case the flow converges to the unique η-Einstein metric. In the positive case the convergence remains in general open. The paper can be viewed as an odd-dimensional counterpart of Cao's results on the KählerRicci flow.
- Organisation(s)
-
Institute of Differential Geometry
- External Organisation(s)
-
Otto-von-Guericke University Magdeburg
- Type
- Article
- Journal
- International Journal of Mathematics
- Volume
- 21
- Pages
- 951-969
- No. of pages
- 19
- ISSN
- 0129-167X
- Publication date
- 01.07.2010
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.1142/S0129167X10006331 (Access:
Unknown)
