The local entropy along Ricci flow---Part A: the no-local-collapsing theorems
Differential Geometry
2017-06-27 v1 Algebraic Geometry
Abstract
We localize the entropy functionals of G. Perelman and generalize his no-local-collapsing theorem and pseudo-locality theorem. Our generalization is technically inspired by further development of Li-Yau estimate along the Ricci flow. It can be used to show the Gromov-Hausdorff convergence of the K\"ahler Ricci flow on each minimal projective manifold of general type.
Keywords
Cite
@article{arxiv.1706.08485,
title = {The local entropy along Ricci flow---Part A: the no-local-collapsing theorems},
author = {Bing Wang},
journal= {arXiv preprint arXiv:1706.08485},
year = {2017}
}
Comments
63 pages, 10 figures, comments welcome!