Odd-dimensional orbifolds with all geodesics closed are covered by manifolds
- 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.
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| Author: | Manuel AmannGND, Christian Lange, Marco Radeschi |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-836376 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/83637 |
| URL: | https://arxiv.org/abs/1811.10320v1 |
| Parent Title (German): | Mathematische Annalen |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2021 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2021/02/21 |
| Volume: | 380 |
| Issue: | 3-4 |
| First Page: | 1355 |
| Last Page: | 1386 |
| DOI: | https://doi.org/10.1007/s00208-021-02214-6 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
