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
Classification
subjects
Mathematics
keywords
bounded local geometry; p-parabolicity; parabolicity; quasi-isometries