Homogeneous Kähler and Hamiltonian manifolds
Résumé
We consider actions of reductive complex Lie groups G=K^\mbb{C}$ on Kähler manifolds $X$ such that the $K$--action is Hamiltonian and prove then that all $G$--orbits are locally closed in $X$. This is used to characterize reductive homogeneous Kähler manifolds in terms of their isotropy subgroups. Moreover we show that such manifolds admit $K$--moment maps if and only if their isotropy groups are algebraic.
Domaines
Variables complexes [math.CV]Origine | Fichiers produits par l'(les) auteur(s) |
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