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math.SG2006★ 2 cited
Metric convexity in the symplectic category
Petre Birtea, Juan-Pablo Ortega, Tudor S. Ratiu
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 len…
math.SG2005
Openness and convexity for momentum maps
Petre Birtea, Juan-Pablo Ortega, Tudor S. Ratiu
The purpose of this paper is finding the essential attributes underlying the convexity theorems for momentum maps. It is shown that they are of topological nature; more specificall…