The interior regularity of the Calabi flow on a toric surface
Differential Geometry
2013-02-08 v1 Analysis of PDEs
Abstract
Let X be a toric surface with Delzant polygon P and u(t) be a solution of the Calabi flow equation on P. Suppose the Calabi flow exists in [0, T). By studying local estimates of the Riemann curvature and the geodesic distance under the Calabi flow, we prove a uniform interior estimate of u(t) for t < T.
Keywords
Cite
@article{arxiv.1302.1627,
title = {The interior regularity of the Calabi flow on a toric surface},
author = {Xiuxiong Chen and Hongnian Huang and Li Sheng},
journal= {arXiv preprint arXiv:1302.1627},
year = {2013}
}