Abstract
We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kähler metrics introduced by La Nave and Tian for and of the Hermitian metrics introduced by Sherman andWeinkove. Our method is based on the solution to the Gauduchon conjecture by Székelyhidi, Tosatti and Weinkove.
| Original language | English |
|---|---|
| Pages (from-to) | 487-510 |
| Number of pages | 24 |
| Journal | Pacific Journal of Mathematics |
| Volume | 310 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Chern–Ricci form
- Gauduchon metric
- continuity equation
- maximal time existence