Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2503.14123 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916655489089536 |
|---|---|
| author | Scott, S. G. |
| author_facet | Scott, S. G. |
| contents | We prove a wave trace singularity formula for a family of generalised Laplacians defined by a Riemannian fibre bundle; for example, the superconnection curvature operator associated to the Bismut superconnection. It is explained how this generalises Poisson summation formulae for families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Poisson summation formula for fibrations of Riemannian manifolds Scott, S. G. Analysis of PDEs Differential Geometry 58J40 (Primary), 55R70 53D12 (Secondary) We prove a wave trace singularity formula for a family of generalised Laplacians defined by a Riemannian fibre bundle; for example, the superconnection curvature operator associated to the Bismut superconnection. It is explained how this generalises Poisson summation formulae for families. |
| title | The Poisson summation formula for fibrations of Riemannian manifolds |
| topic | Analysis of PDEs Differential Geometry 58J40 (Primary), 55R70 53D12 (Secondary) |
| url | https://arxiv.org/abs/2503.14123 |