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Pollicott-Ruelle Resonant States and Betti Numbers
Given a closed orientable hyperbolic manifold of dimension [Formula: see text] we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is sta...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer Berlin Heidelberg
2020
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7426321/ https://www.ncbi.nlm.nih.gov/pubmed/32831358 http://dx.doi.org/10.1007/s00220-020-03793-2 |