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math.DG2009
A note on the p-Parabolicity of Submanifolds
Ana Hurtado, Vicente Palmer
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 bigger or equal than 2.
math.DG2008
Geometric analysis of Lorentzian distance function on spacelike hypersurfaces
Luis J. Alias, Ana Hurtado, Vicente Palmer
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 dis…