Abstract
This is an expository paper dedicated to professor L. Nirenberg for his 85th birthday. First I will discuss my joint works with Z. Zhang and J. Song on the singularity formation of Kähler-Ricci flow. Secondly, I will show a fully nonlinear equation, scalar V-soliton equation (cf. Section 4, (14)), and some basic results about it. This equation was introduced by G. La Nave and myself in studying the singularity formation of Kähler-Ricci flow. I will also show how this new equation can be applied to studying the singularity formation at finite time.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1137-1150 |
| Number of pages | 14 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 28 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 2010 |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Complex monge-ampère equation
- Kähler-Ricci flow
- Singularity
- Soliton