6 citations · 26 across the 11 of their papers we have counts for
Showing 2009 · math.DGShow all
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math.DG2009
Complete minimal surfaces and harmonic functions
Antonio Alarcon, Isabel Fernandez, Francisco J. Lopez
We prove that for any open Riemann surface and any non constant harmonic function there exists a complete conformal minimal immersion $X:M \to \mathbb{R}^…
math.DG2009
Totally umbilical disks and applications to surfaces in three-dimensional homogeneous spaces
Jose M. Espinar, Isabel Fernandez
Following ideas of Choe and Fernandez-do Carmo, we give sufficient conditions for a disk type surface, with piecewise smooth boundary, to be totally umbilical for a given Coddazi p…
math.DG2009★ 1 cited
The number of conformally equivalent maximal graphs
Isabel Fernandez
We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a universal constant that depends only on the number of singu…