Homogeneous Lagrangian foliations on complex space forms
Differential Geometry
2021-10-13 v2
Abstract
We classify holomorphic isometric actions on complex space forms all whose orbits are Lagrangian submanifolds, up to orbit equivalence. The only examples are Lagrangian affine subspace foliations of complex Euclidean spaces, and Lagrangian horocycle foliations of complex hyperbolic spaces.
Cite
@article{arxiv.2010.11877,
title = {Homogeneous Lagrangian foliations on complex space forms},
author = {Jose Carlos Diaz-Ramos and Miguel Dominguez-Vazquez and Takahiro Hashinaga},
journal= {arXiv preprint arXiv:2010.11877},
year = {2021}
}
Comments
11 pages