Metric convexity in the symplectic category

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dc.creatorBirtea, Petre
dc.creatorOrtega, Juan-Pablo
dc.creatorRatiu, Tudor S.
dc.date2006-09-18
dc.date2006-09-26
dc.date.accessioned2026-07-07T07:24:55Z
dc.date.available2026-07-07T07:24:55Z
dc.descriptionWe introduce an extension of the standard Local-to-Global Principle used in the proof of the convexity theorems for the momentum map to handle closed maps that take values in a length metric space. This extension is used to study the convexity properties of the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino and allows us to obtain the most general convexity statement available in the literature for momentum maps associated to a symplectic Lie group action.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0609491
dc.identifierhttp://arxiv.org/abs/math/0609491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116553
dc.subjectSymplectic Geometry
dc.subjectMetric Geometry
dc.subject53D20;52Axx
dc.titleMetric convexity in the symplectic category
dc.typetext

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