On combinatorial Calabi flow with hyperbolic circle patterns

DOI10.1016/j.aim.2018.05.039zbMath1392.37038OpenAlexW2806769202WikidataQ126028335 ScholiaQ126028335MaRDI QIDQ1649342

Bobo Hua, Huabin Ge

Publication date: 5 July 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2018.05.039

zbMATH Keywords

hyperbolic geometryCalabi flowcircle patterns

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

• Unnamed Item
• Unnamed Item
• \(\alpha\)-curvatures and \(\alpha\)-flows on low dimensional triangulated manifolds
• 2-dimensional combinatorial Calabi flow in hyperbolic background geometry
• Discrete quasi-Einstein metrics and combinatorial curvature flows in 3-dimension
• On the deformation of discrete conformal factors on surfaces
• Three-dimensional discrete curvature flows and discrete Einstein metrics
• On the deformation of inversive distance circle packings. II
• On the deformation of inversive distance circle packings. III
• A combinatorial Yamabe flow in three dimensions
• A maximum principle for combinatorial Yamabe flow
• A variational principle for circle packings.
• Conformal mesh parameterization using discrete Calabi flow
• On a combinatorial curvature for surfaces with inversive distance circle packing metrics
• Combinatorial Ricci flows on surfaces.
• A combinatorial Yamabe problem on two and three dimensional manifolds
• Simplicial Ricci flow
• COMBINATORIAL YAMABE FLOW ON HYPERBOLIC SURFACES WITH BOUNDARY
• Combinatorial Calabi flows on surfaces
• A Discrete Ricci Flow on Surfaces with Hyperbolic Background Geometry
• COMBINATORIAL YAMABE FLOW ON SURFACES
• A combinatorial curvature flow for compact 3-manifolds with boundary
• ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE