On the characterization of parabolicity and hyperbolicity of submanifolds

We give a set of sufficient and necessary conditions for parabolicity and hyperbolicity of a submanifold with controlled mean curvature in a Riemannian manifold with a pole and with sectional curvatures bounded from above or from below.

Saved in:
Bibliographic Details
Published in:Journal of the London Mathematical Society 2011-08, Vol.84 (1), p.120-136
Main Authors: Esteve, Antonio, Palmer, Vicente
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give a set of sufficient and necessary conditions for parabolicity and hyperbolicity of a submanifold with controlled mean curvature in a Riemannian manifold with a pole and with sectional curvatures bounded from above or from below.
ISSN:0024-6107
1469-7750
DOI:10.1112/jlms/jdr001