Author profile: Fernández Delgado, Isabel
Institutional data
Name  Fernández Delgado, Isabel 
Department  Matemática Aplicada I 
Knowledge area  Matemática Aplicada 
Professional category  Profesora Titular de Universidad 
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No. publications
28

No. visits
1597

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2222
Publications 

Article
Free Boundary Minimal Annuli Immersed in the Unit Ball
(Springer Link, 2023)
We construct a family of compact free boundary minimal annuli immersed in the unit ball B3 of R3, the first such examples ... 
Article
Rotational elliptic Weingarten surfaces in S2 × R and the Hopf problem
(ScienceDirect, 2023)
We prove that, up to congruence, there exists only one immersed sphere satisfying a given uniformly elliptic Weingarten ... 
Article
Optimal Divisions of a Convex Body
(EleMath, 2023)
For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, ... 
Article
Elliptic Weingarten surfaces: Singularities, rotational examples and the halfspace theorem
(ScienceDirect, 2023)
We show by phase space analysis that there are exactly 17 possible qualitative behaviors for a rotational surface in R3 ... 
Master's Final Project
El problema de Hopf para superficies de Weingarten
(2022)
The aim of this work is to study Hopf’s theorem, a classical result which characterizes constant mean curvature spheres ... 
Final Degree Project
Aplicaciones geométricas del Principio del Máximo para EDPs elípticas
(2021)
The aim of this work is to give a detailed proof of two results from the theory of constant mean curvature surfaces: ... 
Article
Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs
(Cornell University, 2020)
We prove that any complete, uniformly ellipticWeingarten surface in Euclidean 3space whose Gauss map image omits an open ... 
Article
The Bernstein problem for elliptic Weingarten multigraphs
(Cornell University, 2020)
We prove that any complete, uniformly ellipticWeingarten surface in Euclidean 3space whose Gauss map image omits an open ... 
Article
The Gauss map of surfaces in PSL˜2(R)
(Springer, 2015)
We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a leftinvariant Riemannian ... 
Article
Harmonic mappings and conformal minimal immersions of Riemann surfaces into RN
(Springer, 2013)
We prove that for any open Riemann surface N, natural number N ≥ 3, nonconstant harmonic map h:N→R N−2 and holomorphic ... 
Article
Complete minimal surfaces and harmonic functions
(European Mathematical Society, 2012)
We prove that for any open Riemann surface N and any non constant harmonic function h : N → R, there exists a complete ... 
Article
On the uniqueness of the helicoid and Enneper’s surface in the LorentzMinkowski space R31
(American Mathematical Society, 2011)
In this paper we deal with the uniqueness of the Lorentzian helicoid and Enneper’s surface among properly embedded maximal surfaces with lightlike boundary of mirror symmetry in the LorentzMinkowski space R3 
Article
Complete minimal surfaces in R3 with a prescribed coordinate function
(Elsevier, 2011)
In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we ... 
Presentation
Constant mean curvature surfaces in 3dimensional Thurston geometries
(World Scientific, 2011)
This is a survey on the global theory of constant mean curvature surfaces in Riemannian homogeneous 3manifolds. These ... 
Article
The number of conformally equivalent maximal graphs
(Springer, 2010)
We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a ... 
Article
A Hopf theorem for open surfaces in product spaces
(De Gruyter, 2009)
Hopf’s theorem has been recently extended to compact genus zero surfaces with constant mean curvature H in a product space ... 
Article
Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space
(American Mathematical Society, 2009)
We classify the entire minimal vertical graphs in the Heisenberg group Nil3 endowed with a Riemannian leftinvariant metric. ... 
Article
Totally umbilical disks and applications to surfaces in threedimensional homogeneous spaces
(Sociedade Brasileira de Matemática, 2008)
Following [Ch] and [dCF], we give sufficient conditions for a disk type surface, with piecewise smooth boundary, to be ... 
Article
Uniqueness of the Maximal Helicoid
(American Institute of Physics Publising LLC, 2008)
The purpose of this paper is to briefly outline the uniqueness of the helicoid and Enneper's surface among maximal surfaces in the LorentzMinkowski space. 
Article
A new proof of the uniqueness of the solution of a diophantine equation associated with natural number 16
(Academia Canaria de Ciencias, 2008)
This paper offers a new proof of the fact that a certain diophantine equation associated to the natural number 16 has a ... 
Article
A theorem of H. Hopf and the CauchyRiemann inequality II
(Springer, 2007)
This is a sequel to “A theorem of H. Hopf and the CauchyRiemann inequality” [AdCT]. Here the result of the previous paper ... 
Article
Periodic maximal surfaces in the Lorentz–Minkowski space L3
(Springer, 2007)
A maximal surface S with isolated singularities in a complete flat Lorentzian 3manifold N is said to be entire if it lifts ... 
Article
Harmonic maps and constant mean curvature surfaces in H 2 x R
(Johns Hopkins University Press, 2007)
We introduce a hyperbolic Gauss map into the Poincar´e disk for any surface in H2×R with regular vertical projection, and ... 
Article
The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the LorentzMinkowski space L3
(Springer, 2007)
We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces ... 
Article
A characterization of constant mean curvature surfaces in homogeneous 3manifolds
(Elsevier, 2007)
It has been recently shown by Abresch and Rosenberg that a cer tain Hopf differential is holomorphic on every constant ... 
Article
Complete maximal surfaces in static Robertson–Walker 3spaces
(Springer, 2007)
We construct a large family of complete maximal surfaces in the static Robertson–Walker 3spaces with negative base curvature. These examples provide a wide variety of nonstandard foliations of such spaces by entire maximal graphs. 
Article
The space of complete embedded maximal surfaces with isolated singularities in the 3dimensional LorentzMinkowski space
(Springer, 2005)
We prove that a complete embedded maximal surface in L3 with a finite number of sin gularities is an entire maximal graph ... 
Presentation
Periodic maximal graphs in the LorentzMinkowki space L3
(Real Sociedad Matemática Española, 2005)
