Data di Pubblicazione:
2005
Citazione:
A splitting result for compact symplectic manifolds / L. Bedulli, A. Gori. - In: RESULTS IN MATHEMATICS. - ISSN 1422-6383. - 47:3-4(2005), pp. 194-198. [10.1007/BF03323025]
Abstract:
We consider compact symplectic manifolds acted on effectively by a compact connected Lie group K in a Hamiltonian fashion. We prove that the squared moment map ∥μ∥2 is constant if and only if K is semisimple and the manifold is K-equivariantly symplectomorphic to a product of a flag manifold and a compact symplectic manifold which is acted on trivially by K. In the almost-Kähler setting the symplectomorphism turns out to be an isometry.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
moment map
Elenco autori:
L. Bedulli, A. Gori
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