Relative volume comparison of Ricci Flow and its applications
Differential Geometry
2018-04-18 v2
Abstract
In this paper, we derive a relative volume comparison estimate along Ricci flow and apply it to studying the Gromov-Hausdorff convergence of K\"ahler-Ricci flow on a minimal manifold. This new estimate generalizes Perelman's no local collapsing estimate and can be regarded as an analogue of the Bishop-Gromov volume comparison for Ricci flow.
Keywords
Cite
@article{arxiv.1802.09506,
title = {Relative volume comparison of Ricci Flow and its applications},
author = {Gang Tian and Zhenlei Zhang},
journal= {arXiv preprint arXiv:1802.09506},
year = {2018}
}
Comments
28 pages; minor change in the proof of Lemma 3.1