• openAccess   A note on the p-parabolicity of submanifolds 

      Hurtado, Ana; Palmer Andreu, Vicente 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.
    • openAccess   Comparison of exit moment spectra for extrinsic metric balls 

      Hurtado, Ana; Markvorsen, Steen; Palmer Andreu, Vicente 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 ...
    • openAccess   Comparison results for capacity 

      Hurtado, Ana; Palmer Andreu, Vicente; Ritoré, Manuel Indiana University Mathematics Journal (2012)
      We obtain in this paper bounds for the capacity of a compact set $K$. If $K$ is contained in an $(n+1)$-dimensional Cartan-Hadamard manifold, has smooth boundary, and the principal curvatures of $\partial K$ are larger ...
    • openAccess   Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces 

      Alías, Luis J.; Hurtado, Ana; Palmer Andreu, Vicente American Institute of Physics (2009)
      In this paper we summarize some comparison results for the Lorentzian distance function in spacetimes, with applications to the study of the geometric analysis of the Lorentzian distance on spacelike hypersurfaces. In ...
    • openAccess   Estimates of the first Dirichlet eigenvalue from exit time moment spectra 

      Hurtado, Ana; Markvorsen, Steen; Palmer Andreu, Vicente 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 ...
    • openAccess   Geometric analysis of Lorentzian distance function on spacelike hypersurfaces 

      Alías, Luis J.; Hurtado, Ana; Palmer Andreu, Vicente American Mathematical Society (2010)
      Abstract. Some analysis on the Lorentzian distance in a spacetime with controlled sectional (or Ricci) curvatures is done. In particular, we focus on the study of the restriction of such distance to a spacelike hypersurface ...
    • openAccess   Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weights 

      Hurtado, Ana; Palmer Andreu, Vicente; Rosales, César Elsevier (2020)
      Let P be a submanifold properly immersed in a rotationally symmetric manifold having a pole and endowed with a weight e h. The aim of this paper is twofold. First, by assuming certain control on the h-mean curvature of ...
    • closedAccess   Stability numbers in K-contact manifolds 

      Hurtado, Ana Elsevier (2008)
      The aim of this paper is to study the stability of the characteristic vector field of a compact K-contact manifold with respect to the energy and volume functionals when we consider on the manifold a two-parameter variation ...
    • openAccess   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 ...