The fundamental group of a spherical space form is not audible
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908833511636992 |
|---|---|
| author | Colantonio, Mauro Lauret, Emilio A. |
| author_facet | Colantonio, Mauro Lauret, Emilio A. |
| contents | We revisit the problem of isospectral spherical space forms with non-cyclic fundamental groups after the works by Ikeda, Gilkey and Wolf. We find the first pair of spherical space forms with non-isomorphic fundamental groups and the same Laplace spectrum. This shows that the isomorphism class of the fundamental group is not audible among spherical space forms. We also found several instances where one can hear the fundamental group of a spherical space form (among spherical space forms). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12939 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The fundamental group of a spherical space form is not audible Colantonio, Mauro Lauret, Emilio A. Differential Geometry 58J53 (Primary) 58J50 (Secondary) We revisit the problem of isospectral spherical space forms with non-cyclic fundamental groups after the works by Ikeda, Gilkey and Wolf. We find the first pair of spherical space forms with non-isomorphic fundamental groups and the same Laplace spectrum. This shows that the isomorphism class of the fundamental group is not audible among spherical space forms. We also found several instances where one can hear the fundamental group of a spherical space form (among spherical space forms). |
| title | The fundamental group of a spherical space form is not audible |
| topic | Differential Geometry 58J53 (Primary) 58J50 (Secondary) |
| url | https://arxiv.org/abs/2602.12939 |