Geodesic
A Local-to-Global Principle for Convexity in Metric Spaces
Journal of Lie theory, Tome 18 (2008) no. 2, pp. 445-469.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 53C23, 53D20
Mots-clés : Length metric space, convexity, momentum map 
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     title = {A {Local-to-Global} {Principle} for {Convexity} in {Metric} {Spaces}},
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P. Birtea; J.-P. Ortega; T. S. Ratiu . A Local-to-Global Principle for Convexity in Metric Spaces. Journal of Lie theory, Tome 18 (2008) no. 2, pp. 445-469. http://geodesic.mathdoc.fr/item/JLT_2008_18_2_JLT_2008_18_2_a12/