ListarDepartament: Matemàtiques por tema "Parabolicity"
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Conformal type of ends of revolution in space forms of constant sectional curvature
Springer (2016-03)In this paper, we consider the conformal type (parabolicity or non-parabolicity) of complete ends of revolution immersed in simply connected space forms of constant sectional curvature. We show that any complete end of ... -
Extrinsic isoperimetric analysis on submanifolds with curvatures bounded from below
Springer Verlag (2010)We obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient spaces which have a lower bound on their radial sectional curvatures. The submanifolds are themselves only assumed to ... -
p-Capacity and p-hyperbolicity of submanifolds
Universidad Autónoma de Madrid. Departamento de Matemáticas (2009)We use explicit solutions to a drifted Laplace equation in warped product model spaces as comparison constructions to show $p$-hyperbolicity of a large class of submanifolds for p>2. The condition for $p$-hyperbolicity is ...