Polar and coisotropic actions on Kähler manifolds

Podestà, Fabio; Thorbergsson, Gudlaugur

doi:10.1090/S0002-9947-02-02902-1

Polar and coisotropic actions on Kähler manifolds
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by Fabio Podestà and Gudlaugur Thorbergsson PDF

Trans. Amer. Math. Soc. 354 (2002), 1759-1781 Request permission

Abstract:

The main result of the paper is that a polar action on a compact irreducible homogeneous Kähler manifold is coisotropic. This is then used to give new examples of polar actions and to classify coisotropic and polar actions on quadrics.

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