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arXiv · 0909.0422

On the characterization of parabolicity and hyperbolicity of submanifolds

Antonio Esteve·Vicente Palmer
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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.

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Antonio Esteve, Vicente Palmer. 2009-09-02. On the characterization of parabolicity and hyperbolicity of submanifolds. https://doi.org/10.1112/jlms%2Fjdr001

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