Three-dimensional metrics as deformations of a constant curvature metric
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
Any three-dimensional Riemannian metric can be locally obtained by deforming a constant curvature metric along one direction. The general interest of this result, both in geometry and physics, and related open problems are stressed.
Cite
@article{arxiv.gr-qc/0104070,
title = {Three-dimensional metrics as deformations of a constant curvature metric},
author = {B. Coll and J. Llosa and D. Soler},
journal= {arXiv preprint arXiv:gr-qc/0104070},
year = {2008}
}
Comments
14 pages, LaTeX