The Cartan-Hadamard conjecture and the little prince

DOI10.4171/rmi/1082zbMath1460.53039arXiv1303.3115OpenAlexW1781571124WikidataQ123002821 ScholiaQ123002821MaRDI QIDQ2329588

Greg Kuperberg, Benoît R. Kloeckner

Publication date: 18 October 2019

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3115

zbMATH Keywords

linear programmingRiemannian geometryisoperimetric inequalityoptimal transportationCartan-Hadamard manifoldsupper curvature bounds

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (9)

Lord Rayleigh's conjecture for vibrating clamped plates in positively curved spaces ⋮ Fundamental tones of clamped plates in nonpositively curved spaces ⋮ Symmetry and isoperimetry for Riemannian surfaces ⋮ A simple proof of an isoperimetric inequality for Euclidean and hyperbolic cone-surfaces ⋮ Sharp Morrey–Sobolev inequalities and eigenvalue problems on Riemannian–Finsler manifolds with nonnegative Ricci curvature ⋮ The maximal number of 3-term arithmetic progressions in finite sets in different geometries ⋮ Rigidity of Riemannian embeddings of discrete metric spaces ⋮ Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

Uses Software

• SageMath

Cites Work

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