Isoperimetric inequality under K\"ahler Ricci flow
Differential Geometry
2013-07-11 v3
Abstract
Let be a K\"ahler Ricci flow with positive first Chern class. We prove a uniform isoperimetric inequality for all time. In the process we also prove a Cheng-Yau type log gradient bound for positive harmonic functions on , and a Poincar\'e inequality without assuming the Ricci curvature is bounded from below.
Keywords
Cite
@article{arxiv.1203.1400,
title = {Isoperimetric inequality under K\"ahler Ricci flow},
author = {Gang Tian and Qi S. Zhang},
journal= {arXiv preprint arXiv:1203.1400},
year = {2013}
}
Comments
final version, to appear in Am. J. Math