The main result of the paper is that a compact homogeneous Kähler manifold admitting an isometric and coisotropic action with a fixed point is isometric to a Hermitian symmetric space.
Coisotropic actions on compact homogeneous Kähler manifolds / F. PODESTA'; G. THORBERGSSON. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 243:(2003), pp. 471-490. [10.1007/s00209-002-0458-y]
Coisotropic actions on compact homogeneous Kähler manifolds
PODESTA', FABIO;
2003
Abstract
The main result of the paper is that a compact homogeneous Kähler manifold admitting an isometric and coisotropic action with a fixed point is isometric to a Hermitian symmetric space.
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