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Coisotropic actions on compact homogeneous Kähler manifolds

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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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Authors and Affiliations

  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

    Fabio Podestà

  2. Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germany (e-mail: gthorbergsson@mi.uni-koeln.de) , , , , , , DE

    Gudlaugur Thorbergsson

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  1. Fabio Podestà
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  2. Gudlaugur Thorbergsson
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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.

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Podestà, F., Thorbergsson, G. Coisotropic actions on compact homogeneous Kähler manifolds. Math Z 243, 471–490 (2003). https://doi.org/10.1007/s00209-002-0458-y

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  • DOI: https://doi.org/10.1007/s00209-002-0458-y

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