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- W2949227412 abstract "Let K be a connected Lie group and M a Hamiltonian K-manifold. In this paper, we introduce the notion of convexity of M. It implies that the momentum image is convex, the moment map has connected fibers, and the total moment map is open onto its image. Conversely, the three properties above imply convexity. We show that most Hamiltonian manifolds occuring in nature are convex (e.g., if M is compact, complex algebraic, or a cotangent bundle). Moreover, every Hamiltonian manifold is locally convex. This is an expanded version of section 2 of my paper dg-ga/9712010 on Weyl groups of Hamiltonian manifolds." @default.
- W2949227412 created "2019-06-27" @default.
- W2949227412 creator A5080234389 @default.
- W2949227412 date "2001-12-13" @default.
- W2949227412 modified "2023-09-27" @default.
- W2949227412 title "Convexity of Hamiltonian manifolds" @default.
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