• openAccess   Conformal type of ends of revolution in space forms of constant sectional curvature 

      Gimeno, Vicent; Gozalbo, Irmina 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 ...
    • openAccess   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 ...
    • 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 ...