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Coisotropic actions on compact homogeneous Kähler manifolds |
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| Authors: | Fabio Podestà Gudlaugur Thorbergsson |
| Affiliation: | 1.Dip. di Matematica e Appl. per l'Arch., Università di Firenze, P.zza Ghiberti, 27, 50142 Firenze, Italy (e-mail: podesta@math.unifi.it),IT;2.Mathematisches Institut, Universit?t zu K?ln, Weyertal 86–90, 50931 K?ln, Germany (e-mail: gthorbergsson@mi.uni-koeln.de),DE |
| Abstract: | Abstract. The main result of the paper is that a compact homogeneous K?hler manifold admitting an isometric and coisotropic action with a fixed point is isometric to a Hermitian symmetric space. Received: 28 December 2001; in final form: 19 March 2002 / Published online: 14 February 2003 Part of the work on this paper was done during a visit of the second author at the University of Florence that was financially supported by G.N.S.A.G.A. – I.N.d.A.M. |
| Keywords: | Mathematics Subject Classification (1991): 53C55 57S15 |
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