ListarInstitute of New Imaging Technologies (INIT) por tema "parabolicity"
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Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds
Elsevier (2020-08-13)Let (M, g)be a complete non-compact Riemannian manifold together with a function eh, which weights the Hausdorff measures associated to the Riemannian metric. In this work we assume lower or upper radial bounds on some ... -
On the characterization of parabolicity and hyperbolicity of submanifolds
London Mathematical Society (2011-08)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 ... -
Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weights
Elsevier (2020)Let P be a submanifold properly immersed in a rotationally symmetric manifold having a pole and endowed with a weight e h. The aim of this paper is twofold. First, by assuming certain control on the h-mean curvature of ... -
Parabolicity, Brownian Exit Time and Properness of Solitons of the Direct and Inverse Mean Curvature Flow
(2019-10-05)We study some potential theoretic properties of homothetic solitons n of the MCF and the IMCF. Using the analysis of the extrinsic distance function defined on these submanifolds in Rn+m, we observe similarities and ...