On the exponent of convergence of negatively curved manifolds without Green's function
Melián, María V. (Universidad Autónoma de Madrid. Departamento de Matemáticas)
Rodríguez García, Jose M. (Universidad Carlos III de Madrid. Departamento de Matemáticas)
Tourís, Eva (Universidad Autónoma de Madrid. Departamento de Matemáticas)

Date:	2018
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Riemannian manifold ; Negative curvature ; Green's function ; First eigenvalue ; Exponent of convergence
Published in:	Publicacions matemàtiques, Vol. 62 Núm. 1 (2018) , p. 177-183 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/329933
DOI: 10.5565/PUBLMAT6211809

7 p, 288.2 KB

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