Counterexamples to continuity of optimal transportation on positively curved Riemannian manifolds

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dc.creatorKim, Young-Heon
dc.date2007-09-11
dc.date.accessioned2026-07-07T08:28:47Z
dc.date.available2026-07-07T08:28:47Z
dc.descriptionCounterexamples to continuity of optimal transportation on Riemannian manifolds with everywhere positive sectional curvature are provided. These examples show that the condition A3w of Ma, Trudinger, & Wang is not guaranteed by positivity of sectional curvature.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0709.1653
dc.identifierhttp://arxiv.org/abs/0709.1653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137745
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53Cxx; 35Jxx; 49N60; 58E17
dc.titleCounterexamples to continuity of optimal transportation on positively curved Riemannian manifolds
dc.typetext

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