Metric convexity in the symplectic category
نویسندگان
چکیده
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 in [8] and allows us to obtain the most general convexity statement available in the literature for momentum maps associated to a symplectic Lie group action.
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