Loewner's torus inequality with isosystolic defect

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dc.creatorHorowitz, Charles
dc.creatorKatz, Karin Usadi
dc.creatorKatz, Mikhail G.
dc.date2008-03-05
dc.date2009-02-12
dc.date.accessioned2026-07-07T12:40:10Z
dc.date.available2026-07-07T12:40:10Z
dc.descriptionWe show that Bonnesen's isoperimetic defect has a systolic analog for Loewner's torus inequality. The isosystolic defect is expressed in terms of the probabilistic variance of the conformal factor of the metric g with respect to the flat metric of unit area in the conformal class of g.
dc.description15 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0803.0690
dc.identifierhttp://arxiv.org/abs/0803.0690
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219360
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subjectMetric Geometry
dc.subject53C23 (Primary); 30F10, 35J60, 58J60 (Secondary)
dc.titleLoewner's torus inequality with isosystolic defect
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