On the characterization of parabolicity and hyperbolicity of submanifolds
classification
🧮 math.DG
math.AP
keywords
hyperbolicityparabolicityabovebelowboundedcharacterizationconditionscontrolled
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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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