On the characterization of parabolicity and hyperbolicity of submanifolds

Details On the characterization of parabolicity and hyperbolicity of submanifolds On the characterization of parabolicity and hyperbolicity of submanifolds

2009-09-02

arxiv.org/abs/0909.0422v1

Mathematics

Differential Geometry

19 pages

Scientific paper

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.

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