5 citations · 6 across the 5 of their papers we have counts for
5 papers
Harmonic maps and constant mean curvature surfaces in $\H^2 \times \R$
Isabel Fernandez, Pablo Mira
We introduce a hyperbolic Gauss map into the Poincare disk for any surface in H^2xR with regular vertical projection, and prove that if the surface has constant mean curvature H=1/…
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 space of solutions to the Hessian one equation in the finitely punctured plane
Jose A. Galvez, Antonio Martinez, Pablo Mira
We construct the space of solutions to the elliptic Monge-Ampere equation det(D^2 u)=1 in the plane R^2 with n points removed. We show that, modulo equiaffine transformations and f…
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…
Isometric immersions of R^2 into R^4 and pertubation of Hopf tori
Jose A. Galvez, Pablo Mira
We produce a new general family of flat tori in R^4, the first one since Bianchi's classical works in the 19th century. To construct these flat tori, obtained via small perturbatio…