1 citations · 3 across the 16 of their papers we have counts for
16 papers
Criteria for parabolicity and hyperbolicity of conductive Riemannian manifolds
Vicent Gimeno i Garcia, Ana Hurtado, Steen Markvorsen +1
Motivated by the physics of anisotropic conductive materials we consider a linear elliptic operator of divergence type on a Riemannian manifold . The…
Area-minimizing properties of Pansu spheres in the sub-riemannian -sphere
Ana Hurtado, César Rosales
We consider the sub-Riemannian -sphere obtained by restriction of the Riemannian metric of constant curvature to the planar distribution orthogonal to t…
An instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian -space forms
Ana Hurtado, Césa Rosales
We study stable surfaces, i.e., second order minima of the area for variations of fixed volume, in sub-Riemannian space forms of dimension . We prove a stability inequality and…
Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds
Ana Hurtado, Vicente Palmer, César Rosales
Let be a complete non-compact Riemannian manifold together with a function , which weights the Hausdorff measures associated to the Riemannian metric. In this work we…
Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights
Ana Hurtado, Vicente Palmer, César Rosales
Let be a submanifold properly immersed in a rotationally symmetric manifold having a pole and endowed with a weight . The aim of this paper is twofold. First, by assuming…
Strongly stable surfaces in sub-Riemannian -space forms
Ana Hurtado, César Rosales
A surface of constant mean curvature (CMC) equal to in a sub-Riemannian -manifold is strongly stable if it minimizes the functional up to sec…