Convexity of Hamiltonian manifolds

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.

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How to cite


Knop, F. (2002). Convexity of Hamiltonian manifolds. Journal of Lie Theory, 12(2), 571-582.


Knop, Friedrich. "Convexity of Hamiltonian manifolds." Journal of Lie Theory 12.2 (2002): 571-582.

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