Finite-time singularity of Kähler-Ricci flow

Gang Tian

doi:10.3934/dcds.2010.28.1137

Article Contents

2010, Volume 28, Issue 3: 1137-1150. Doi: 10.3934/dcds.2010.28.1137

This issue Previous Article On Pogorelov estimates for Monge-Ampère type equations Next Article Principal curvature estimates for the convex level sets of semilinear elliptic equations

Finite-time singularity of Kähler-Ricci flow

Gang Tian^1,

1.
Beijing University, Beijing, 100871

Received: February 28, 2010

Revised: March 31, 2010

Published: August 2010

Abstract Related Papers Cited by

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.

Keywords:

Mathematics Subject Classification: Primary: 53C44, 35J60; Secondary: 53C55.

Citation:

Article Metrics

HTML views() PDF downloads(102) Cited by(0)

Finite-time singularity of Kähler-Ricci flow

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Finite-time singularity of Kähler-Ricci flow

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content