Minimizing weak solutions for calabi's extremal metrics on toric manifolds
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
In this paper, we discuss a Donaldson's version of the modified -energy associated to the Calabi's extremal metrics on toric manifolds and prove the existence of the weak solution for extremal metrics in the sense of convex functions which minimizes the modified -energy.
Cite
@article{arxiv.math/0611099,
title = {Minimizing weak solutions for calabi's extremal metrics on toric manifolds},
author = {Bin Zhou and Xiaohua Zhu},
journal= {arXiv preprint arXiv:math/0611099},
year = {2007}
}
Comments
28 pages, 3 figures