The Calabi flow on toric Fano surface
Differential Geometry
2009-12-24 v4 Analysis of PDEs
Abstract
We prove the longtime existence and convergence of the Calabi flow on toric Fano surfaces in a large family of Kahler classes where the class has positive extremal Hamiltonian potential and the initial Calabi energy is bounded by some constant. This is an extension of our previous work. We use the toric condition in a more essential way to rule out bubbles.
Keywords
Cite
@article{arxiv.0807.3984,
title = {The Calabi flow on toric Fano surface},
author = {Xiuxiong Chen and Weiyong He},
journal= {arXiv preprint arXiv:0807.3984},
year = {2009}
}
Comments
Some errors are corrected and Section 3 is thoroughly rewritten