Kähler-Ricci flow with degenerate initial class
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- Trans. Amer. Math. Soc. 366 (2014), 3389-3403 Request permission
Abstract:
In an earlier joint work with X. X. Chen and G. Tian (2011), we introduced the weak Kähler-Ricci flow for various geometric motivations. In this current work, we give further consideration to setting up the weak flow by allowing the initial class to be not necessarily Kähler. It’s shown that the construction is compatible with the earlier construction in the Kähler case. We also discuss the convergence as $t\to 0^+$, which is of great interest in this topic, and provide related motivation.References
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Additional Information
- Zhou Zhang
- Affiliation: School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
- MR Author ID: 790125
- ORCID: 0000-0002-4822-8536
- Email: zhangou@maths.usyd.edu.au
- Received by editor(s): January 6, 2012
- Published electronically: March 13, 2014
- Additional Notes: The author was supported in part by NSF 0904760 and ARC Discovery Project DP110102654.
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 3389-3403
- MSC (2010): Primary 53C44; Secondary 14E30, 58J35
- DOI: https://doi.org/10.1090/S0002-9947-2014-05943-6
- MathSciNet review: 3192600