A Local-to-Global Principle for Convexity in Metric Spaces
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. As an application, this extension is used to study the convexity properties of the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino. Mathematics Subject Index 2000: 53C23, 53D20.
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