Listar por autoría "ddfed67d-0a07-49d8-8542-3d65fe4e54b3"
Mostrando ítems 1-6 de 6
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Comparison of exit moment spectra for extrinsic metric balls
Springer Science+Business Media B.V. (2012)We prove explicit upper and lower bounds for the L1-moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in ambient Riemannian spaces Nn. We assume that P and N both have ... -
Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory
Springer Verlag (2014)We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an ambient manifold with a pole. The key ... -
Estimates of the first Dirichlet eigenvalue from exit time moment spectra
Springer Verlag (2016)We compute the first Dirichlet eigenvalue of a geodesic ball in a rotationally symmetric model space in terms of the moment spectrum for the Brownian motion exit times from the ball. As an application of the model space ...
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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 ...
