Homogeneous Lagrangian submanifolds
微分几何
2008-07-18 v2 辛几何
摘要
We characterize isometric actions on compact Kaehler 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.
引用
@article{arxiv.math/0604169,
title = {Homogeneous Lagrangian submanifolds},
author = {Lucio Bedulli and Anna Gori},
journal= {arXiv preprint arXiv:math/0604169},
year = {2008}
}
备注
17 pages. Minor modifications have been made: Proposition 5 is now correctly quoted, Corollary 2 and 3 are added