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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Polar and coisotropic actions on Kähler manifolds


Authors: Fabio Podestà and Gudlaugur Thorbergsson
Journal: Trans. Amer. Math. Soc. 354 (2002), 1759-1781
MSC (2000): Primary 53C55, 57S15
Published electronically: January 10, 2002
MathSciNet review: 1881015
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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.


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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
Email: gthorbergsson@mi.uni-koeln.de

DOI: http://dx.doi.org/10.1090/S0002-9947-02-02902-1
PII: S 0002-9947(02)02902-1
Keywords: Polar and coisotropic actions, homogeneous K\"{a}hler manifolds
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
Article copyright: © Copyright 2002 American Mathematical Society