Data

NameFernández Delgado, Isabel
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesora Titular de Universidad
E-mailRequest
           

  Statistics

  • Items

    22

  • Visits

    549

  • Downloads

    506

  Publications

 

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Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs

Fernández Delgado, Isabel; Gálvez, José A.; Mira, Pablo (Cornell University, 2020-01-01)
We prove that any complete, uniformly ellipticWeingarten surface in Euclidean 3-space whose Gauss map image omits an open ...
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The Bernstein problem for elliptic Weingarten multigraphs

Fernández Delgado, Isabel; Gálvez, José A.; Mira, Pablo (Cornell University, 2020-01-01)
We prove that any complete, uniformly ellipticWeingarten surface in Euclidean 3-space whose Gauss map image omits an open ...
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The Gauss map of surfaces in PSL˜2(R)

Daniel, Benoit; Fernández Delgado, Isabel; Mira, Pablo (Springer, 2015-01-01)
We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a left-invariant Riemannian ...
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Harmonic mappings and conformal minimal immersions of Riemann surfaces into RN

Alarcón, Antonio; Fernández Delgado, Isabel; López, Francisco J. (Springer, 2013-01-01)
We prove that for any open Riemann surface N, natural number N ≥ 3, non-constant harmonic map h:N→R N−2 and holomorphic ...
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Complete minimal surfaces and harmonic functions

Alarcón, Antonio; Fernández Delgado, Isabel; López, Francisco J. (European Mathematical Society, 2012-01-01)
We prove that for any open Riemann surface N and any non constant harmonic function h : N → R, there exists a complete ...
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Complete minimal surfaces in R3 with a prescribed coordinate function

Alarcón, Antonio; Fernández Delgado, Isabel (Elsevier, 2011-01-01)
In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we ...
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On the uniqueness of the helicoid and Enneper’s surface in the Lorentz-Minkowski space R31

Fernández Delgado, Isabel; López, Francisco J. (American Mathematical Society, 2011-01-01)
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 Lorentz-Minkowski space R3
Presentation
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Constant mean curvature surfaces in 3-dimensional Thurston geometries

Fernández Delgado, Isabel; Mira, Pablo (World Scientific, 2011-01-01)
This is a survey on the global theory of constant mean curvature surfaces in Riemannian homogeneous 3-manifolds. These ...
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The number of conformally equivalent maximal graphs

Fernández Delgado, Isabel (Springer, 2010-01-01)
We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a ...
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Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space

Fernández Delgado, Isabel; Mira, Pablo (American Mathematical Society, 2009-01-01)
We classify the entire minimal vertical graphs in the Heisenberg group Nil3 endowed with a Riemannian left-invariant metric. ...
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A Hopf theorem for open surfaces in product spaces

Carmo, Manfredo do; Fernández Delgado, Isabel (De Gruyter, 2009-01-01)
Hopf’s theorem has been recently extended to compact genus zero surfaces with constant mean curvature H in a product space ...
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Totally umbilical disks and applications to surfaces in three-dimensional homogeneous spaces

Espinar, José M.; Fernández Delgado, Isabel (Sociedade Brasileira de Matemática, 2008-01-01)
Following [Ch] and [dCF], we give sufficient conditions for a disk type surface, with piecewise smooth boundary, to be ...
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A new proof of the uniqueness of the solution of a diophantine equation associated with natural number 16

Fernández Delgado, Isabel; Pacheco Castelao, José M. (Academia Canaria de Ciencias, 2008-01-01)
This paper offers a new proof of the fact that a certain diophantine equation associated to the natural number 16 has a ...
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Uniqueness of the Maximal Helicoid

Fernández Delgado, Isabel; López, Francisco J. (American Institute of Physics Publising LLC, 2008-01-01)
The purpose of this paper is to briefly outline the uniqueness of the helicoid and Enneper's surface among maximal surfaces in the Lorentz-Minkowski space.
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The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3

Fernández Delgado, Isabel; López, Francisco J.; Souam, Rabah (Springer, 2007-01-01)
We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces ...
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Periodic maximal surfaces in the Lorentz–Minkowski space L3

Fernández Delgado, Isabel; López, Francisco J. (Springer, 2007-01-01)
A maximal surface S with isolated singularities in a complete flat Lorentzian 3-manifold N is said to be entire if it lifts ...
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Complete maximal surfaces in static Robertson–Walker 3-spaces

Fernández Delgado, Isabel; Mira, Pablo (Springer, 2007-01-01)
We construct a large family of complete maximal surfaces in the static Robertson–Walker 3-spaces with negative base curvature. These examples provide a wide variety of non-standard foliations of such spaces by entire maximal graphs.
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A characterization of constant mean curvature surfaces in homogeneous 3-manifolds

Fernández Delgado, Isabel; Mira, Pablo (Elsevier, 2007-01-01)
It has been recently shown by Abresch and Rosenberg that a cer- tain Hopf differential is holomorphic on every constant ...
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Harmonic maps and constant mean curvature surfaces in H 2 x R

Fernández Delgado, Isabel; Mira, Pablo (Johns Hopkins University Press, 2007-01-01)
We introduce a hyperbolic Gauss map into the Poincar´e disk for any surface in H2×R with regular vertical projection, and ...
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A theorem of H. Hopf and the Cauchy-Riemann inequality II

Alencar, Hilário; Carmo, Manfredo do; Fernández Delgado, Isabel; Tribuzy, Renato (Springer, 2007-01-01)
This is a sequel to “A theorem of H. Hopf and the Cauchy-Riemann inequality” [AdCT]. Here the result of the previous paper ...
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Periodic maximal graphs in the Lorentz-Minkowki space L3

Fernández Delgado, Isabel; López, Francisco J. (Real Sociedad Matemática Española, 2005-01-01)
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The space of complete embedded maximal surfaces with isolated singularities in the 3-dimensional Lorentz-Minkowski space

Fernández Delgado, Isabel; López, Francisco J.; Souam, Rabah (Springer, 2005-01-01)
We prove that a complete embedded maximal surface in L3 with a finite number of sin- gularities is an entire maximal graph ...