5-dimensional geometries I: the general classification
Geometric Topology
2016-06-09 v2 Differential Geometry
Abstract
This paper is the first of a 3-part series that classifies the 5-dimensional Thurston geometries. The present paper (part 1 of 3) summarizes the general classification, giving the full list, an outline of the method, and some illustrative examples. This includes phenomena that have not appeared in lower dimensional geometries, such as an uncountable family of geometries.
Cite
@article{arxiv.1605.07545,
title = {5-dimensional geometries I: the general classification},
author = {Andrew Geng},
journal= {arXiv preprint arXiv:1605.07545},
year = {2016}
}
Comments
15 pages, 4 figures; v2 modifies "Other geometric structures" in section 4 to mention SO(3) structures and the published version of Winther's thesis (suggested by Ilka Agricola)