On the deformation of discrete conformal factors on surfaces

2016/04/28 by Ge, Huabin, Jiang, Wenshuai · 4 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1604.08318

Abstract

In \citeLuo0, 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.

Cited by

• Infinite Combinatorial Yamabe Flows in Three Dimensions
• The existence and uniqueness of infinite combinatorial Yamabe flows
• Combinatorial p-th Calabi flow for finite and infinite ideal circle patterns
• Infinite combinatorial Ricci flow in spherical background geometry

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