9 citations · 17 across the 6 of their papers we have counts for
6 papers
Proper harmonic maps from hyperbolic Riemann surfaces into the Euclidean plane
Antonio Alarcon, Jose A. Galvez
Let be a compact Riemann surface and a finite number of pairwise disjoint closed disks of . We prove the existence of a proper harmonic map into the Euclidean…
Minimal surfaces and harmonic diffeomorphisms from the complex plane onto a Hadamard surface
Jose A. Galvez, Harold Rosenberg
We construct harmonic diffeomorphisms from the complex plane onto any Hadamard surface whose curvature is bounded above by a negative constant. For that, we prove a Jenkins…
Complete surfaces with positive extrinsic curvature in product spaces
Jose M. Espinar, Jose A. Galvez, Harold Rosenberg
We prove that every complete connected immersed surface with positive extrinsic curvature in must be properly embedded, homeomorphic to a sphere or a plane and, i…
The Bonnet problem for surfaces in homogeneous 3-manifolds
Jose A. Galvez, Antonio Martinez, Pablo Mira
We solve the Bonnet problem for surfaces in the homogeneous 3-manifolds with a 4-dimensional isometry group. More specifically, we show that a simply connected real analytic surfac…
Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation
Juan A. Aledo, Jose A. Galvez, Pablo Mira
We give a conformal representation in terms of meromorphic data for a certain class of spacelike surfaces in the Lorentz-Minkowski 4-space L^4 whose mean curvature vector is either…
The Cauchy problem for Liouville equation and Bryant surfaces
Jose A. Galvez, Pablo Mira
We give a construction that connects the Cauchy problem for Liouville elliptic equation with a certain initial value problem for mean curvature one surfaces in hyperbolic 3-space H…