Polar and coisotropic actions on Kähler manifolds
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- by Fabio Podestà and Gudlaugur Thorbergsson PDF
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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.References
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Additional Information
- Fabio Podestà
- Affiliation: Dipartimento di Matematica e Applicazioni per l’Architettura, Università di Firenze, Piazza Ghiberti 27, I-50142 Firenze, Italy
- Email: podesta@math.unifi.it
- Gudlaugur Thorbergsson
- Affiliation: Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D-50931 Köln, Germany
- MR Author ID: 191963
- Email: gthorbergsson@mi.uni-koeln.de
- Received by editor(s): November 8, 2000
- Received by editor(s) in revised form: July 31, 2001
- Published electronically: January 10, 2002
- Additional Notes: Part of the work on this paper was done during a visit of the second author to the University of Florence and was financially supported by G.N.S.A.G.A. - I.N.d.A.M
- © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 1759-1781
- MSC (2000): Primary 53C55, 57S15
- DOI: https://doi.org/10.1090/S0002-9947-02-02902-1
- MathSciNet review: 1881015