Communications in Analysis and Geometry

Volume 16 (2008)

Number 3

Homogeneous Lagrangian submanifolds

Pages: 591 – 615



Lucio Bedulli

Anna Gori


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.

Published 1 January 2008