Locally Euclidean metrics on R^3
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
For all 0<t \leq 1, we define a locally Euclidean metric \rho_t on R^3. These metrics are invariant under Euclidean isometries and, if t increases to 1, converges to the Euclidean metric d_E. This research is motivated by expanding universe.
Cite
@article{arxiv.math/0702453,
title = {Locally Euclidean metrics on R^3},
author = {Young Deuk Kim},
journal= {arXiv preprint arXiv:math/0702453},
year = {2007}
}
Comments
5 pages