English

On the deformation of discrete conformal factors on surfaces

Geometric Topology 2016-05-02 v1 Differential Geometry

Abstract

In \cite{Luo0}, Feng Luo conjectured that the discrete Yamabe flow will converge to the constant curvature PL-metric after finite number of surgeries on the triangulation. In this paper, we prove that the flow can always be extended (without surgeries) to a solution that converges exponentially fast to the constant curvature PL-metric.

Keywords

Cite

@article{arxiv.1604.08318,
  title  = {On the deformation of discrete conformal factors on surfaces},
  author = {Huabin Ge and Wenshuai Jiang},
  journal= {arXiv preprint arXiv:1604.08318},
  year   = {2016}
}

Comments

12 pages. arXiv admin note: text overlap with arXiv:1604.08317