On the exponent of convergence of negatively curved manifolds without Green's function
In this paper we prove that for every complete n-dimensional Riemannian manifold without Green's function and with its sectional curvatures satisfying K ≤-1, the exponent of convergence is greater than or equal to n - 1. Furthermore, we show that this inequality is sharp. This result is well kn...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:182688 |
| Acceso en línea: | https://ddd.uab.cat/record/182688 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6211809 |
| Access Level: | acceso abierto |
| Palabra clave: | Riemannian manifold Negative curvature Green's function First eigenvalue Exponent of convergence |
| Sumario: | In this paper we prove that for every complete n-dimensional Riemannian manifold without Green's function and with its sectional curvatures satisfying K ≤-1, the exponent of convergence is greater than or equal to n - 1. Furthermore, we show that this inequality is sharp. This result is well known for manifolds with constant sectional curvatures K = -1. |
|---|