On biparabolicity of Riemannian manifolds

• Shokoufe Faraji ^[1] ; Alexander Grigor'yan ^[1]
  1. [1] Bielefeld University

     Bielefeld University

     Kreisfreie Stadt Bielefeld, Alemania

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 7, 2019, págs. 2025-2034
• Idioma: inglés
• DOI: 10.4171/rmi/1108
• Texto completo no disponible (Saber más ...)
• Resumen

  • A Riemannian manifold is called biparabolic if any positive bisuperharmonic function is harmonic. We provide a criterion of biparabolicity in terms of the Green function of the Laplacian, as well as a sharp sufficient condition for biparabolicity in terms of the volume growth function.