Abstract
We establish a lower bound for the Donaldson-Futaki invariant of optimal degenerations produced by the Kähler-Ricci flow in terms of the greatest Ricci lower bound on arbitrary Fano manifolds. As an application, we can generalize the finiteness of the Futaki invariants on Kähler-Ricci solitons obtained by Guo-Phong-Song-Sturm to the space of all Fano manifolds. Also, we discuss the relation to Hisamoto’s inequality for the infimum of the Hfunctional.
Original language | English |
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Pages (from-to) | 3527-3536 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2020 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics