Transformation groups of certain flat affine manifolds
Group Theory
2021-04-08 v2
Abstract
In this paper we characterize the group of affine transformations of a flat affine simply connected manifold whose developing map is a diffeomorphism. This is proved by making use of some simple facts about homeomorphisms of preserving open connected sets. We show some examples where the characterization is useful.
Cite
@article{arxiv.2011.02577,
title = {Transformation groups of certain flat affine manifolds},
author = {O. Saldarriaga and A. Flórez},
journal= {arXiv preprint arXiv:2011.02577},
year = {2021}
}
Comments
This is a preprint of an article published in Sao Paulo Journal of Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s40863-021-00223-6