On the deformation of discrete conformal factors on surfaces

Luo (Commun Contemp Math 6:765–780, 2004 ) 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 for all time. M...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2016-12, Vol.55 (6), p.1-14, Article 136
Hauptverfasser:	Ge, Huabin, Jiang, Wenshuai
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of Variations and Optimal Control Optimization Control Convergence Curvature Deformation Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical Triangulation
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