Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914645305982976 |
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| author | Arias-Marco, Teresa Fernández-Barroso, José Manuel |
| author_facet | Arias-Marco, Teresa Fernández-Barroso, José Manuel |
| contents | Two Riemannian manifolds are said to be isospectral if there exists a unitary operator which intertwines their Laplace-Beltrami operator. In this paper, we prove in the non-compact setting the inaudibility of the weak symmetry property and the commutative property using an isospectral pair of 23 dimensional generalized Heisenberg groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10092 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups Arias-Marco, Teresa Fernández-Barroso, José Manuel Differential Geometry 58J53, 53C25, 58J50 Two Riemannian manifolds are said to be isospectral if there exists a unitary operator which intertwines their Laplace-Beltrami operator. In this paper, we prove in the non-compact setting the inaudibility of the weak symmetry property and the commutative property using an isospectral pair of 23 dimensional generalized Heisenberg groups. |
| title | Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups |
| topic | Differential Geometry 58J53, 53C25, 58J50 |
| url | https://arxiv.org/abs/2401.10092 |