Listar por tema "Submanifolds"
Mostrando ítems 1-4 de 4
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A note on the p-parabolicity of submanifolds
Springer Science+Business Media B.V. (2011)We give a geometric criterion which shows p-parabolicity of a class of submanifolds in a Riemannian manifold, with controlled second fundamental form, for p ≥ 2. -
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 ...
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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 ...
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Torsional rigidity of submanifolds with controlled geometry
Springer Verlag (2009)We prove explicit upper and lower bounds for the torsional rigidity of extrinsic domains of submanifolds Pm with controlled radial mean curvature in ambient Riemannian manifolds Nn with a pole p and with sectional ...
