Ricci curvature on polyhedral surfaces via optimal transportation

DOI10.3390/axioms3010119zbMath1311.05043arXiv1402.0644OpenAlexW2014128112MaRDI QIDQ2345040

Pascal Romon, Benoit Loisel

Publication date: 19 May 2015

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0644

zbMATH Keywords

tilingoptimal transportationdiscrete Laplaciandiscrete curvature

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Planar graphs; geometric and topological aspects of graph theory (05C10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Local Riemannian geometry (53B20)

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Uses Software

• SageMath

Cites Work

• Unnamed Item
• Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator
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• A discrete Laplace-Beltrami operator for simplicial surfaces
• Generalized curvatures
• Combinatorial curvature for planar graphs

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