Browsing Departament: Matemàtiques by Author "ddfed67d-0a07-49d8-8542-3d65fe4e54b3"
Now showing items 1-4 of 4
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Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory
Gimeno, Vicent; Markvorsen, Steen 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 ... -
Extrinsic isoperimetric analysis on submanifolds with curvatures bounded from below
Markvorsen, Steen; Palmer Andreu, Vicente 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
Holopainen, Ilkka; Markvorsen, Steen; Palmer Andreu, Vicente 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 ... -
Torsional rigidity of submanifolds with controlled geometry
Hurtado, Ana; Markvorsen, Steen; Palmer Andreu, Vicente 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 ...