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On March's criterion for transience on rotationally symmetric manifolds (2305.17501v1)
Published 27 May 2023 in math.DG
Abstract: In this short paper we show that March's criterion for the existence of a bounded non constant harmonic function on a weak model is also a necessary and sufficient condition for the solvability of the Dirichlet problem at infinity on a slight generalisation of a weak model (rotationally symmetric) metric on $\mathbb{R}n$.
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