Geodesic simplices of pseudo-hyperbolic space
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918488292982784 |
|---|---|
| author | Lemistre, Timothé |
| author_facet | Lemistre, Timothé |
| contents | We give a cohomological interpretation of the geodesic simplices of the pseudo-hyperbolic space of signature $(p,q)$ and formulate a necessary and sufficient condition for such a simplex to have finite volume. As a corollary, we obtain that every ideal geodesic polytope in the pseudo-hyperbolic space of signature $(2,2)$ has finite volume. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06254 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geodesic simplices of pseudo-hyperbolic space Lemistre, Timothé Geometric Topology Differential Geometry We give a cohomological interpretation of the geodesic simplices of the pseudo-hyperbolic space of signature $(p,q)$ and formulate a necessary and sufficient condition for such a simplex to have finite volume. As a corollary, we obtain that every ideal geodesic polytope in the pseudo-hyperbolic space of signature $(2,2)$ has finite volume. |
| title | Geodesic simplices of pseudo-hyperbolic space |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2605.06254 |