Three-dimensional homogeneous spaces with non-solvable transformation groups
Differential Geometry
2017-04-17 v1
Abstract
We classify all transitive actions of Lie algebras of vector fields on C^3 and R^3 up to a local equivalence and discuss why this classification can not be extended in general to the solvable case. The main technical tool is the structure of one-dimensional invariant foliations on homogeneous spaces.
Cite
@article{arxiv.1704.04393,
title = {Three-dimensional homogeneous spaces with non-solvable transformation groups},
author = {Boris Doubrov},
journal= {arXiv preprint arXiv:1704.04393},
year = {2017}
}
Comments
25 pages