English

Extremal metrics on toric surfaces, I

Differential Geometry 2007-05-23 v1

Abstract

The paper develops a continiuty method for solutions of the Abreu equation, which include extremal metrics on toric surfaces. Results are obtained, assuming a hypothesis (the "M-condition") on the solutions.

Cite

@article{arxiv.math/0612120,
  title  = {Extremal metrics on toric surfaces, I},
  author = {S. K. Donaldson},
  journal= {arXiv preprint arXiv:math/0612120},
  year   = {2007}
}
R2 v1 2026-07-22T17:47:24.493Z