Metric convexity in the symplectic category

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We 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.
27 pages

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Symplectic Geometry, Metric Geometry, 53D20;52Axx

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http://salesiana.dossiersoluciones.com/handle/123456789/116553

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609491
 http://arxiv.org/abs/math/0609491

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arXiv