On the deformation of discrete conformal factors on surfaces

Huabin Ge; Wenshuai Jiang

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arXiv · 1604.08318

On the deformation of discrete conformal factors on surfaces

Huabin Ge·Wenshuai Jiang

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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.

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Huabin Ge, Wenshuai Jiang. 2016-04-28. On the deformation of discrete conformal factors on surfaces. https://arxiv.org/abs/1604.08318

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