Knop F (2002)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2002
Publisher: Heldermann Verlag
Book Volume: 12
Pages Range: 571-582
Journal Issue: 2
We study point set topological properties of the moment map. In particular, we introduce the notion of a convex Hamiltonian manifold. This notion combines convexity of the momentum image and connectedness of moment map fibers with a certain openness requirement for the moment map. We show that convexity rules out many pathologies for moment maps. Then we show that the most important classes of Hamiltonian manifolds (e.g., unitary vector spaces, compact manifolds, or cotangent bundles) axe in fact convex., Moreover, we prove that every Hamiltonian manifold is locally convex.
APA:
Knop, F. (2002). Convexity of Hamiltonian manifolds. Journal of Lie Theory, 12(2), 571-582.
MLA:
Knop, Friedrich. "Convexity of Hamiltonian manifolds." Journal of Lie Theory 12.2 (2002): 571-582.
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