On p-parabolicity of Riemannian manifolds and graphs Articles uri icon

publication date

  • January 2022

start page

  • 179

end page

  • 198

issue

  • 1

volume

  • 35

International Standard Serial Number (ISSN)

  • 1988-2807

abstract

  • Kanai proved that quasi-isometries between Riemannian manifolds with bounded geometry preserve many global properties, including the existence of Green"s function, i.e., non-parabolicity. However, Kanai"s hypotheses are too restrictive. Herein we prove the stability of p-parabolicity (with 1

subjects

  • Mathematics

keywords

  • bounded local geometry; p-parabolicity; parabolicity; quasi-isometries