Dimension of the isometry group in three-dimensional Riemannian spaces
General Relativity and Quantum Cosmology
2021-03-01 v1
Abstract
The necessary and sufficient conditions for a three-dimensional Riemannian metric to admit a group of isometries of dimension acting on s-dimensional orbits are obtained. These conditions are Intrinsic, Deductive, Explicit and ALgorithmic and they offer an IDEAL labeling that improves previously known invariant studies.
Cite
@article{arxiv.2102.13358,
title = {Dimension of the isometry group in three-dimensional Riemannian spaces},
author = {Joan Josep Ferrando and Juan Antonio Sáez},
journal= {arXiv preprint arXiv:2102.13358},
year = {2021}
}
Comments
8 pages, 1 figure