• closedAccess   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 ...
    • openAccess   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 ...