On p-Parabolicity of Riemannian Submersions

Maria Andrade; Pietro da Silva

On p-Parabolicity of Riemannian Submersions

Differential Geometry 2015-08-05 v1

Authors: Maria Andrade , Pietro da Silva

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.

Keywords

p-parabolicity Riemannian submersions warped manifolds volume growth bounded fiber volume

Cite

@article{arxiv.1508.00767,
  title  = {On p-Parabolicity of Riemannian Submersions},
  author = {Maria Andrade and Pietro da Silva},
  journal= {arXiv preprint arXiv:1508.00767},
  year   = {2015}
}

Comments

6 pages

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