A synthetic characterization of the hemisphere

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dc.creatorCroke, Christopher B.
dc.date2004-06-14
dc.date.accessioned2026-07-07T05:09:14Z
dc.date.available2026-07-07T05:09:14Z
dc.descriptionWe show that round hemispheres are the only compact 2 dimensional Riemannian manifolds (with or without boundary) such that almost every pair of complete geodesics intersect once and only once. We prove this by establishing a sharp isoperimetric inequality for surfaces with boundary such that every pair of geodesics have at most one interior intersection point.
dc.descriptionLatex, 4 pages
dc.identifierhttps://arxiv.org/abs/math/0406283
dc.identifierhttp://arxiv.org/abs/math/0406283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71554
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C22; 53C24; 53C65; 53A99; 53C20
dc.titleA synthetic characterization of the hemisphere
dc.typetext

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