On the characterization of parabolicity and hyperbolicity of submanifolds
Differential Geometry
2014-02-26 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.0909.0422,
title = {On the characterization of parabolicity and hyperbolicity of submanifolds},
author = {Antonio Esteve and Vicente Palmer},
journal= {arXiv preprint arXiv:0909.0422},
year = {2014}
}
Comments
19 pages