Flat trace distribution of the geodesic flow on compact hyperbolic plane
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916486085345280 |
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| author | Lam, Hy |
| author_facet | Lam, Hy |
| contents | In this paper, we establish the spectral decomposition of the Koopman operator and determine the flat-trace distribution associated with the geodesic flow on the co-circle bundle over the compactification of Poincaré upper half-plane $\mathbf{H}^2 = \{z \in \mathbb{C} : \Im(z) > 0\}$, equipped with the hyperbolic metric $ds^2 = \frac{dz^2}{\Im(z)^2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11392 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flat trace distribution of the geodesic flow on compact hyperbolic plane Lam, Hy Spectral Theory Dynamical Systems 58C40, 37C10, 46F25, 22E43 In this paper, we establish the spectral decomposition of the Koopman operator and determine the flat-trace distribution associated with the geodesic flow on the co-circle bundle over the compactification of Poincaré upper half-plane $\mathbf{H}^2 = \{z \in \mathbb{C} : \Im(z) > 0\}$, equipped with the hyperbolic metric $ds^2 = \frac{dz^2}{\Im(z)^2}$. |
| title | Flat trace distribution of the geodesic flow on compact hyperbolic plane |
| topic | Spectral Theory Dynamical Systems 58C40, 37C10, 46F25, 22E43 |
| url | https://arxiv.org/abs/2411.11392 |