Visible action, polar action and coisotropic action.
Conference in honor of Prof. Jean-Louis Clerc ''Hermitian Symmetric Spaces, Jordan Algebras and Related Problems'' (organized by Wolfgang Bertram and Khalid Koufany). Centre International de Recherches Mathématiques (CIRM), Luminy, France, 23-27 June 2008.

Visible actions are holomorphic actions on complex manifolds having certain nice properties. Likewise, polar actions are defined for isometric actions on Riemannian manifolds, and coistropic action are for symplectic manifolds. In this talk, I plan to discuss some basic properties of these actions on Kähler manifolds in relation with multiplicity-free actions.

© Toshiyuki Kobayashi