Triple Products of Eigenfunctions and Spectral Geometry
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914337819459584 |
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| author | Schaefer, Joe |
| author_facet | Schaefer, Joe |
| contents | Using elementary techniques from Geometric Analysis, Partial Differential Equations, and Abelian $C^*$ Algebras, we uncover a novel, yet familiar, global geometric invariant -- namely the indexed set of integrals of triple products of eigenfunctions of the Laplace-Beltrami operator, to precisely characterize which isospectral closed Riemannian manifolds are isometric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Triple Products of Eigenfunctions and Spectral Geometry Schaefer, Joe Spectral Theory Mathematical Physics Functional Analysis Using elementary techniques from Geometric Analysis, Partial Differential Equations, and Abelian $C^*$ Algebras, we uncover a novel, yet familiar, global geometric invariant -- namely the indexed set of integrals of triple products of eigenfunctions of the Laplace-Beltrami operator, to precisely characterize which isospectral closed Riemannian manifolds are isometric. |
| title | Triple Products of Eigenfunctions and Spectral Geometry |
| topic | Spectral Theory Mathematical Physics Functional Analysis |
| url | https://arxiv.org/abs/2406.12868 |