On circle patterns and spherical conical metrics

DOI10.1090/proc/16557arXiv2301.09585OpenAlexW4379619035MaRDI QIDQ6183399

Xin Nie

Publication date: 4 January 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09585

zbMATH Keywords

total geodesic curvatureKoebe-Andreev-Thurston Theoremspherical circle patterns

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Circle packings and discrete conformal geometry (52C26)

Related Items (1)

A combinatorial curvature flow in spherical background geometry

Cites Work

• A variational principle for circle packings.
• Combinatorial optimization in geometry
• Combinatorial Ricci flows on surfaces.
• Rigidity of polyhedral surfaces. I
• A note on circle patterns on surfaces
• Prescribing Curvature on Compact Surfaces with Conical Singularities
• Point Singularities and Conformal Metrics on Riemann Surfaces
• Variational principles for circle patterns and Koebe’s theorem

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