On March's criterion for transience on rotationally symmetric manifolds

Author:

Jhon E. Bravo, Jean C. Cortissoz

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-05-26 16:00:00

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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