Odd-dimensional orbifolds with all geodesics closed are covered by manifolds
Differential Geometry
2018-11-27 v1
Abstract
Manifolds all of whose geodesics are closed have been studied a lot, but there are only few examples known. The situation is different if one allows in addition for orbifold singularities. We show, nevertheless, that the abundance of new examples is restricted to even dimensions. As one key ingredient we provide a characterization of orientable manifolds among orientable orbifolds in terms of characteristic classes.
Cite
@article{arxiv.1811.10320,
title = {Odd-dimensional orbifolds with all geodesics closed are covered by manifolds},
author = {Manual Amann and Christian Lange and Marco Radeschi},
journal= {arXiv preprint arXiv:1811.10320},
year = {2018}
}
Comments
30 pages. Comments are welcome!