English

On the Extension of the Calabi Flow on Toric Varieties

Differential Geometry 2011-01-05 v1

Abstract

Inspired by recent work of S. K. Donaldson on constant scalar curvature metrics on toric complex surfaces, we study obstructions to the extension of the Calabi flow on a polarized toric variety. Under some technical assumptions, we prove that the Calabi flow can be extended for all time.

Keywords

Cite

@article{arxiv.1101.0638,
  title  = {On the Extension of the Calabi Flow on Toric Varieties},
  author = {Hongnian Huang},
  journal= {arXiv preprint arXiv:1101.0638},
  year   = {2011}
}