Coisotropic and Polar actions on Complex Grassmannians

2003/04/10 by Leonardo Biliotti, Biliotti, Leonardo, Anna Gori +1
Mathematics · #53C55 #57S15 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C55 #msc:57S15

paper · pdf · doi:10.48550/arxiv.math/0304139

21 pages, no figures

arxiv created 2003/05/09 · arxiv updated 2009/11/30

Abstract

The main result of the paper is the complete classification of the compact connected Lie groups acting coisotropically on complex Grassmannians. This is used to determine the polar actions on the same manifolds.

Related

• Polar and coisotropic actions on Kaehler manifolds
• Coisotropic and polar actions on compact irreducible Hermitian symmetric spaces
• Polar actions on the complex hyperbolic plane
• Polar manifolds and actions
• Sections of polar actions