Abstract
In this paper we study a generalization of the Kähler-Ricci flow, in which the Ricci form is twisted by a closed, non-negative .1; 1/-form. We show that when a twisted Kähler-Einstein metric exists, then this twisted flow converges exponentially. This generalizes a result of Perelman on the convergence of the Kähler-Ricci flow, and it builds on work of Tian-Zhu.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 179-205 |
| Number of pages | 27 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 2016 |
| Issue number | 716 |
| DOIs | |
| State | Published - Jul 2016 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics