A Riemannian Corollary of Helly's Theorem

zbMath1470.52001arXiv1804.10738MaRDI QIDQ5856373

Alexander Rusciano

Publication date: 25 March 2021

Full work available at URL: https://arxiv.org/abs/1804.10738

zbMATH Keywords

convex optimizationHelly's theoremHadamard manifoldgeodesic convexity

Mathematics Subject Classification ID

Convex programming (90C25) Axiomatic and generalized convexity (52A01) Geodesics in global differential geometry (53C22) Probability theory on linear topological spaces (60B11)

Cites Work

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• On Helly's theorem in geodesic spaces
• Convex hulls in the hyperbolic space
• Partitions of mass-distributions and of convex bodies by hyperplanes
• A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• Operator scaling via geodesically convex optimization, invariant theory and polynomial identity testing
• Riemannian Geometry

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