6 citations · 15 across the 9 of their papers we have counts for
5 papers · 1 filter
Curvature estimates for submanifolds immersed into horoballs and horocylinders
G. Pacelli Bessa, Jorge H. de Lira, Stefano Pigola +1
We prove mean curvature estimates and a Jorge-Koutroufiotis type theorem for submanifolds confined into either a horocylinder of N X L or a horoball of N, where N is a Cartan-Hadam…
Comparison principle, stochastic completeness and half-space theorems
G. Pacelli Bessa, Jorge H. de Lira, Adriano A. Medeiros
We present a criterion for the stochastic completeness of a submanifold in terms of its distance to a hypersurface in the ambient space. This relies in a suitable version of the He…
Existence of nonparametric solutions for a capillary problem in warped products
Jorge H. S. Lira, Gabriela A. Wanderley
We prove that there exist solutions for a non-parametric capillary problem in a wide class of Riemannian manifolds endowed with a Killing vector field. In other terms, we prove the…
Entire bounded constant mean curvature Killing graphs
M. Dajczer, J. H. de Lira
We show that under certain curvature conditions of the ambient space an entire Killing graph of constant mean curvature lying inside a slab must be a totally geodesic slice.
A note on the area and coarea formulas for general volume densities and some applications
Daniel Cibotaru, Jorge de Lira
We present the area and coarea formulas for Lipschitz maps, valid for general volume densities. As applications, we give a short, "euclidean" proof of the anisotropic Sobolev inequ…