English

Extremal metrics on toric surfaces

Differential Geometry 2015-09-24 v5

Abstract

In this paper, we study the Abreu equation on toric surfaces. In particular, we prove the existence of the positive extremal metric when relative KK-stability is assumed.

Keywords

Cite

@article{arxiv.1008.2607,
  title  = {Extremal metrics on toric surfaces},
  author = {Bohui Chen and An-Min Li and Li Sheng},
  journal= {arXiv preprint arXiv:1008.2607},
  year   = {2015}
}

Comments

We revise the subsection 6.3(lower bounds of Riemannian distantces inside edges). arXiv admin note: text overlap with arXiv:1008.2606

R2 v1 2026-06-21T16:01:10.064Z