On the deformation of discrete conformal factors on surfaces
classification
🧮 math.GT
math.DG
keywords
constantcurvaturediscreteflowpl-metricsurgeriesalwayscite
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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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