COMPUTING CONSTANT-CURVATURE METRICS FOR HYPERBOLIC 3-MANIFOLDS WITH BOUNDARIES USING TRUNCATED TETRAHEDRAL MESHES

DOI10.1142/S0218654308001130zbMath1185.68792OpenAlexW2153254929MaRDI QIDQ5305547

Feng Luo, Xianfeng David Gu, Xiaotian Yin, Miao Jin

Publication date: 22 March 2010

Published in: International Journal of Shape Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218654308001130

zbMATH Keywords

Riemannian metrichyperbolic geometry3-manifoldcurvature flowgeodesic boundary

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Noncompact Lie groups of transformations (57S20)

Related Items (1)

Combinatorial Ricci flow on compact 3-manifolds with boundary

Cites Work

• Unnamed Item
• The convergence of circle packings to the Riemann mapping
• A variational principle for circle packings.
• Combinatorial Ricci flows on surfaces.
• Three-manifolds with positive Ricci curvature
• A circle packing algorithm
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Variational principles for circle patterns and Koebe’s theorem
• A combinatorial curvature flow for compact 3-manifolds with boundary
• Small Hyperbolic 3-Manifolds With Geodesic Boundary

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