Perelman's W-functional and stability of K\"ahler-Ricci flow
Differential Geometry
2018-07-26 v2
Abstract
In this expository note, we study the second variation of Perelman's entropy on the space of Kahler metrics at a K\"ahler-Ricci soliton. We prove that the entropy is stable in the sense of variations. In particular, Perelman's entropy is stable along the K\"ahler-Ricci flow. The Chinese version of this note has appeared in a volume in honor of professor K.C.Chang (Scientia Sinica Math., 46 (2016), 685-696).
Keywords
Cite
@article{arxiv.0801.3504,
title = {Perelman's W-functional and stability of K\"ahler-Ricci flow},
author = {Gang Tian and Xiaohua Zhu},
journal= {arXiv preprint arXiv:0801.3504},
year = {2018}
}