On the exponent of convergence of negatively curved manifolds without Green’s function

• Autores: María Victoria Melián , José Manuel Rodríguez García , Eva Tourís
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 62, Nº 1, 2018, págs. 177-183
• Idioma: inglés
• DOI: 10.5565/329933
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• Resumen

  • 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.