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On a generalization of a theorem of McDuff. (English) Zbl 1329.53069

Summary: We study the symplectic structure of the holomorphic coadjoint orbits, generalizing a theorem of McDuff on the symplectic structure of Hermitian symmetric spaces of noncompact type.

MSC:

53C35 Differential geometry of symmetric spaces
53C55 Global differential geometry of Hermitian and Kählerian manifolds
17B08 Coadjoint orbits; nilpotent varieties
53D35 Global theory of symplectic and contact manifolds
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