A combinatorial curvature flow for compact 3-manifolds with boundary

DOI10.1090/S1079-6762-05-00142-3zbMath1079.53098arXivmath/0405295OpenAlexW1949463783MaRDI QIDQ4681010

Feng Luo

Publication date: 14 June 2005

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405295

zbMATH Keywords

combinatorial curvaturecombinatorial Laplace operator

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Spherical and hyperbolic convexity (52A55)

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Cites Work

• Unnamed Item
• Unnamed Item
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• A variational principle for circle packings.
• Euclidean structures on simplicial surfaces and hyperbolic volume
• Combinatorial optimization in geometry
• Characterizing the Delaunay decompositions of compact hyperbolic surfaces
• Word hyperbolic Dehn surgery
• Taut ideal triangulations of \(3\)-manifolds
• Combinatorial Ricci flows on surfaces.
• Three-manifolds with positive Ricci curvature
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Hyperideal polyhedra in hyperbolic 3-space
• Construction and recognition of hyperbolic 3-manifolds with geodesic boundary
• CONTINUITY OF THE VOLUME OF SIMPLICES IN CLASSICAL GEOMETRY