Locally Compact Contractive Local Groups
Differential Geometry
2009-10-08 v2
Abstract
We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of theorems for locally compact contractive groups.
Cite
@article{arxiv.0909.4565,
title = {Locally Compact Contractive Local Groups},
author = {Lou van den Dries and Isaac Goldbring},
journal= {arXiv preprint arXiv:0909.4565},
year = {2009}
}
Comments
10 pages