Variational principles and combinatorial \(p\)-th Yamabe flows on surfaces

DOI10.2140/pjm.2021.315.129zbMath1496.53103OpenAlexW4200008957MaRDI QIDQ2062020

Chun-Yan Li, Chang Yang, Aijin Lin

Publication date: 22 December 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2021.315.129

zbMATH Keywords

variational principlessurgerycombinatorial Yamabe flowcombinatorial Ricci potentialcombinatorial Gauss curvaturecombinatorial Yamabe algorithmpiecewise linear metricsYamabe combinatorial problem

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Circle packings and discrete conformal geometry (52C26) Conformal structures on manifolds (53C18) Ricci flows (53E20) Discrete differential geometry (53A70)

Related Items (1)

Branched combinatorial \(p\)-th Ricci flows on surfaces

Cites Work

• 2-dimensional combinatorial Calabi flow in hyperbolic background geometry
• On the deformation of discrete conformal factors on surfaces
• Rigidity of polyhedral surfaces. III.
• A variational principle for circle packings.
• A discrete uniformization theorem for polyhedral surfaces. II
• Combinatorial \(p\)-th Calabi flows on surfaces
• Positive solutions of \(p\)-th Yamabe type equations on graphs
• A discrete uniformization theorem for polyhedral surfaces
• Combinatorial \(p\)-th Ricci flows on surfaces
• A discrete Laplace-Beltrami operator for simplicial surfaces
• Discrete conformal maps and ideal hyperbolic polyhedra
• Combinatorial \(p\)-th Calabi flows for discrete conformal factors on surfaces
• Positive solutions of $p$-th Yamabe type equations on infinite graphs
• COMBINATORIAL YAMABE FLOW ON SURFACES

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