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Annals of Global Analysis and Geometry

, Volume 26, Issue 3, pp 315–318 | Cite as

A Note on the Moment Map on Compact Kähler Manifolds

  • Anna Gori
  • Fabio Podestà
Article

Abstract

We consider compact Kähler manifolds acted on effectively by a connected compact Lie group K of isometries 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 biholomorphically and K-equivariantly isometric to a product of a flag manifold and a compact Kähler manifold which is acted on trivially by K.

Kähler manifolds moment mapping flag manifolds 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Anna Gori
  • Fabio Podestà

There are no affiliations available

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