On the deformation of discrete conformal factors on surfaces

DOI10.1007/S00526-016-1070-ZzbMath1359.53054arXiv1604.08318OpenAlexW2964154506MaRDI QIDQ514253

Huabin Ge, Wen Shuai Jiang

Publication date: 1 March 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08318

zbMATH Keywords

constant curvature PL-metricdiscrete Yamabe flowsurgeries on triangulation

Mathematics Subject Classification ID

Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Polyhedral manifolds (52B70) Circle packings and discrete conformal geometry (52C26)

Related Items (15)

On combinatorial Calabi flow with hyperbolic circle patterns ⋮ Combinatorial \(p\)-th Calabi flows for discrete conformal factors on surfaces ⋮ Discrete \(\alpha\)-Yamabe flow in 3-dimension ⋮ Combinatorial Ricci flow on compact 3-manifolds with boundary ⋮ Combinatorial Ricci flows and the hyperbolization of a class of compact 3-manifolds ⋮ Rigidity of the hexagonal Delaunay triangulated plane ⋮ Branched combinatorial \(p\)-th Ricci flows on surfaces ⋮ Deformation of discrete conformal structures on surfaces ⋮ 3-dimensional combinatorial Yamabe flow in hyperbolic background geometry ⋮ Discrete Yamabe flows with \(R\)-curvature revisited ⋮ Variational principles and combinatorial \(p\)-th Yamabe flows on surfaces ⋮ On the deformation of inversive distance circle packings, I ⋮ On the deformation of ball packings ⋮ Combinatorial Calabi flow with surgery on surfaces ⋮ Parameterized combinatorial curvatures and parameterized combinatorial curvature flows for discrete conformal structures on polyhedral surfaces

Cites Work

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• On the deformation of inversive distance circle packings. III
• Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds
• A combinatorial Yamabe flow in three dimensions
• Rigidity of polyhedral surfaces. III.
• A variational principle for circle packings.
• Euclidean structures on simplicial surfaces and hyperbolic volume
• Combinatorial Ricci flows on surfaces.
• Discrete conformal maps and ideal hyperbolic polyhedra
• Volume and rigidity of hyperbolic polyhedral 3‐manifolds
• COMBINATORIAL YAMABE FLOW ON SURFACES

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