Cohomogeneity one conformal actions on the three-dimensional essential Riemannian spaces
Differential Geometry
2018-12-27 v1
Abstract
The aim of this paper is to classify the cohomogeneity one conformal actions on the three-dimensional essential Riemannian spaces, up to orbit equivalence. Among other results, the representations of all connected Lie groups acting with cohomogeneity one or zero within the full conformal group of a given three-dimensional essential Riemannian space are determined, up to conjugacy, and the orbits are specified up to conformal equivalence.
Keywords
Cite
@article{arxiv.1812.10271,
title = {Cohomogeneity one conformal actions on the three-dimensional essential Riemannian spaces},
author = {Parviz Ahmadi and Masoud Hassani},
journal= {arXiv preprint arXiv:1812.10271},
year = {2018}
}