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arXiv · 1508.00767

On p-Parabolicity of Riemannian Submersions

Maria Andrade·Pietro da Silva
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Abstract

We provide some criteria to $p$-parabolicity of Riemannian submersions. In particular, if $N$ is $p$-parabolic and $\pi:M\to N$ is a Riemannian submersion with uniformly bounded volume of fibers, then $M$ is also $p$-parabolic. In the case of warped manifolds we characterize $p$-parabolicity in terms of a volume growth condition.

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Maria Andrade, Pietro da Silva. 2015-08-04. On p-Parabolicity of Riemannian Submersions. https://arxiv.org/abs/1508.00767

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