Three-dimensional homogeneous spaces with non-solvable transformation groups

Boris Doubrov

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arXiv · 1704.04393

Three-dimensional homogeneous spaces with non-solvable transformation groups

Boris Doubrov

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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.

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Boris Doubrov. 2017-04-14. Three-dimensional homogeneous spaces with non-solvable transformation groups. https://arxiv.org/abs/1704.04393

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