Abstract
In this paper, we study Mabuchi metrics on Fano manifolds. We prove that Mabuchi metrics exist if and only if the modified Ding functional is proper modulo the automorphism group. As an application, we establish a criterion for the existence of Mabuchi metrics on Fano group compactifications.
| Original language | English |
|---|---|
| Pages (from-to) | 659-692 |
| Number of pages | 34 |
| Journal | Pacific Journal of Mathematics |
| Volume | 302 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 |
| Externally published | Yes |
Keywords
- Ding functional
- Fano manifolds
- Lie group
- Mabuchi metrics