Three-dimensional homogeneous spaces with non-solvable transformation groups
classification
🧮 math.DG
keywords
homogeneousspacesactionsalgebrascaseclassificationclassifydiscuss
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
A Note On The Lie-Amaldi Classification
Refines the Lie-Amaldi classification of finite dimensional nilpotent algebras of vector fields using the rank of the center of the Lie algebra as an invariant.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.