Polar and coisotropic actions on Kähler manifolds

By F. Podestà, G. Thorbergsson. 2000

50 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1b0c2eee7f31c002828e0598c060e4f65ba6b86b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Toshiyuki Kobayashi
2. G. Thorbergsson

In Geometry and Topology

1. Toshiyuki Kobayashi
2. G. Thorbergsson
3. M. Pevzner

In Mathematical Physics

1. Toshiyuki Kobayashi
2. G. Thorbergsson
3. M. Pevzner

Citations in the corpus

• Singular Riemannian Foliations and Isoparametric Submanifolds (2010, background): “It was shown in [ 53 ] that polar actions on K¨ ahler manifolds are under certain conditions coisotropic.”
• 重複度１の表現と複素多様体上の可視的な作用Multiplicity-free representations and visible actions on complex manifolds (2005, background): “[54, 55]) if there exists a properly embedded submanifold S (called a section) with the following two properties:”
• Visible actions on symmetric spaces (2006, background): “3) Polar actions on a Riemannian manifold ([28, 29]).”