Mathematics – Symplectic Geometry
Scientific paper
2006-09-18
Mathematics
Symplectic Geometry
27 pages
Scientific paper
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.
Birtea Petre
Ortega Juan-Pablo
Ratiu Tudor S.
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