6 citations · 29 across the 18 of their papers we have counts for
19 papers
Annular solutions to the partitioning problem in a ball
Alberto Cerezo, Isabel Fernandez, Pablo Mira
For any , , we construct a real analytic, one-parameter family of compact embedded CMC annuli with free boundary in the unit ball of $\math…
Free boundary minimal annuli immersed in the unit ball
Isabel Fernandez, Laurent Hauswirth, Pablo Mira
We construct a family of compact free boundary minimal annuli immersed in the unit ball of , the first such examples other than the critical catenoid.…
Elliptic Weingarten surfaces: singularities, rotational examples and the halfspace theorem
Isabel Fernandez, Pablo Mira
We show by phase space analysis that there are exactly 17 possible qualitative behaviors for a rotational surface in that satisfies an arbitrary elliptic Weingarten…
Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs
Isabel Fernandez, Jose A. Galvez, Pablo Mira
We prove that any complete, uniformly elliptic Weingarten surface in Euclidean -space whose Gauss map image omits an open hemisphere is a cylinder or a plane. This generalizes a…
The Gauss map of surfaces in ~PSL_2(R)
Benoit Daniel, Isabel Fernandez, Pablo Mira
We define a Gauss map for surfaces in the universal cover of the Lie group PSL_2(R) endowed with a left-invariant Riemannian metric having a 4-dimensional isometry group. This Gaus…
Harmonic mappings and conformal minimal immersions of Riemann surfaces into
Antonio Alarcon, Isabel Fernandez, Francisco J. Lopez
We prove that for any open Riemann surface natural number non-constant harmonic map and holomorphic 2-form on there exists a weak…