Homogeneous Lagrangian submanifolds

Details Homogeneous Lagrangian submanifolds Homogeneous Lagrangian submanifolds

2006-04-07

arxiv.org/abs/math/0604169v2

Comm. Anal. Geom. 16 (2008), 591--615.

Mathematics

Differential Geometry

17 pages. Minor modifications have been made: Proposition 5 is now correctly quoted, Corollary 2 and 3 are added

Scientific paper

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.

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