27 citations · 64 across the 12 of their papers we have counts for
13 papers
Approximating Riemannian manifolds by polyhedra
Daniel Meyer, Eric Toubiana
This is a study on approximating a Riemannian manifold by polyhedra. Our scope is understanding Tullio Regge's [52] article in the restricted Riemannian frame. We give a proof of t…
Classical Schwarz Reflection Principle for Jenkins-Serrin Type Minimal Surfaces
Ricardo Sa Earp, Eric Toubiana
We give a proof of the classical Schwarz reflection principle for Jenkins-Serrin type minimal surfaces in the homogeneous three manifolds for and $τ\geqsla…
A reflection principle for minimal surfaces in smooth three manifolds
Ricardo Sa Earp, Eric Toubiana
We prove a reflection principle for minimal surfaces in smooth (non necessarily analytic) three manifolds and we give an explicit application when the ambient space is just a smoot…
Concentration of total curvature of minimal surfaces in H^2xR
Ricardo Sa Earp, Eric Toubiana
We prove a phenomenon of concentration of total curvature for stable minimal surfaces in the product space H^2xR; where H^2 is the hyperbolic plane. Under some geometric conditions…
Minimal Graphs in Nil_3 : existence and non-existence results
Barbara Nelli, Ricardo Sa Earp, Eric Toubiana
We study the minimal surface equation in the Heisenberg space, Nil_3. A geometric proof of non existence of minimal graphs over non convex, bounded and unbounded domains is achieve…
Maximum Principle and Symmetry for Minimal Hypersurfaces in H^nxR
Barbara Nelli, Ricardo Sa Earp, Eric Toubiana
The aim of this work is to study how the asymptotic boundary of a minimal hypersurface in H^nxR determines the behavior of the hypersurface at finite points, in several geometric s…