5 citations · 6 across the 5 of their papers we have counts for
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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 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…