K\"ahler non-collapsing, eigenvalues and the Calabi flow
Differential Geometry
2014-12-31 v2
Abstract
We first proved a compactness theorem of the K\"ahler metrics, which confirms a prediction of Chen. Then we prove several eigenvalue estimates along the Calabi flow. Combining the compactness theorem and these eigenvalue estimates, we generalize the method developed by Chen-Li-Wang to prove the small energy theorems of the Calabi flow.
Keywords
Cite
@article{arxiv.1309.4304,
title = {K\"ahler non-collapsing, eigenvalues and the Calabi flow},
author = {Haozhao Li and Kai Zheng},
journal= {arXiv preprint arXiv:1309.4304},
year = {2014}
}
Comments
33 pages, final version, to appear in Journal of Functional Analysis