Showing math.DGShow all
3 papers · 1 filter
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…
math.DG2006
p-Capacity and p-hyperbolicity of submanifolds
Ilkka Holopainen, Steen Markvorsen, Vicente Palmer
We use drifted Brownian motion in warped product model spaces as comparison constructions to show -hyperbolicity of a large class of submanifolds for . The condition for…