English

The p-Hyperbolicity of Infinity Volume Ends and Applications

Differential Geometry 2014-01-15 v2

Abstract

In this paper we prove a characterization of pp-hyperbolic ends on complete Riemannian manifolds which carries a Sobolev type inequality.

Keywords

Cite

@article{arxiv.1301.2821,
  title  = {The p-Hyperbolicity of Infinity Volume Ends and Applications},
  author = {Marcio Batista and Marcos Petrucio Cavalcante and Newton Santos},
  journal= {arXiv preprint arXiv:1301.2821},
  year   = {2014}
}

Comments

9 pages. The introduction was rewritten. We include a new result in the context of submanifolds