Communications in Analysis and Geometry
Volume 16 (2008)
Homogeneous Lagrangian submanifolds
Pages: 591 – 615
We characterize isometric actions on compact Kähler manifolds admitting a Lagrangian orbit, describing under which condition the Lagrangian orbit is unique. We furthermore give the complete classification of simple groups acting on the complex projective space with a Lagrangian orbit, and we give the explicit list of these orbits.