Orbifolds from a metric viewpoint
Differential Geometry
2020-03-12 v4 Metric Geometry
Abstract
We characterize Riemannian orbifolds and their coverings in terms of metric geometry. In particular, we show that the metric double of a Riemannian orbifold along the closure of its codimension one stratum is a Riemannian orbifold and that the natural projection is an orbifold covering.
Cite
@article{arxiv.1801.03472,
title = {Orbifolds from a metric viewpoint},
author = {Christian Lange},
journal= {arXiv preprint arXiv:1801.03472},
year = {2020}
}
Comments
15 pages, final version, appears in Geom. Dedicata