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Browsing by Author "Fernández Delgado, Isabel"
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Article
A characterization of constant mean curvature surfaces in homogeneous 3manifolds
Fernández Delgado, Isabel; Mira, Pablo (Elsevier, 2007)It has been recently shown by Abresch and Rosenberg that a cer tain Hopf differential is holomorphic on every constant ...

Article
A Hopf theorem for open surfaces in product spaces
Carmo, Manfredo do; Fernández Delgado, Isabel (De Gruyter, 2009)Hopf’s theorem has been recently extended to compact genus zero surfaces with constant mean curvature H in a product ...

Article
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)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
Alencar, Hilário; Carmo, Manfredo do; Fernández Delgado, Isabel; Tribuzy, Renato (Springer, 2007)This is a sequel to “A theorem of H. Hopf and the CauchyRiemann inequality” [AdCT]. Here the result of the previous paper ...

Final Degree Project
Aplicaciones geométricas del Principio del Máximo para EDPs elípticas
Cerezo Cid, Alberto (20210701)The aim of this work is to give a detailed proof of two results from the theory of constant mean curvature surfaces: ...

Article
Complete maximal surfaces in static Robertson–Walker 3spaces
Fernández Delgado, Isabel; Mira, Pablo (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
Complete minimal surfaces and harmonic functions
Alarcón, Antonio; Fernández Delgado, Isabel; López, Francisco J. (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
Complete minimal surfaces in R3 with a prescribed coordinate function
Alarcón, Antonio; Fernández Delgado, Isabel (Elsevier, 2011)In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, ...

Presentation
Constant mean curvature surfaces in 3dimensional Thurston geometries
Fernández Delgado, Isabel; Mira, Pablo (World Scientific, 2011)This is a survey on the global theory of constant mean curvature surfaces in Riemannian homogeneous 3manifolds. These ...

Article
Elliptic Weingarten surfaces: Singularities, rotational examples and the halfspace theorem
Fernández Delgado, Isabel; Mira Carrillo, Pablo (ScienceDirect, 2023)We show by phase space analysis that there are exactly 17 possible qualitative behaviors for a rotational surface in R3 ...

Article
Free Boundary Minimal Annuli Immersed in the Unit Ball
Fernández Delgado, Isabel; Hauswirth, Laurent; Mira, Pablo (Springer Link, 20231110)We construct a family of compact free boundary minimal annuli immersed in the unit ball B3 of R3, the first such examples ...

Article
Harmonic mappings and conformal minimal immersions of Riemann surfaces into RN
Alarcón, Antonio; Fernández Delgado, Isabel; López, Francisco J. (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
Harmonic maps and constant mean curvature surfaces in H 2 x R
Fernández Delgado, Isabel; Mira, Pablo (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
Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space
Fernández Delgado, Isabel; Mira, Pablo (American Mathematical Society, 2009)We classify the entire minimal vertical graphs in the Heisenberg group Nil3 endowed with a Riemannian leftinvariant metric. ...

Article
On the uniqueness of the helicoid and Enneper’s surface in the LorentzMinkowski space R31
Fernández Delgado, Isabel; López, Francisco J. (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
Optimal Divisions of a Convex Body
Cañete Martín, Antonio Jesús; Fernández Delgado, Isabel; Márquez Pérez, Alberto (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, ...

Presentation
Periodic maximal graphs in the LorentzMinkowki space L3
Fernández Delgado, Isabel; López, Francisco J. (Real Sociedad Matemática Española, 2005) 
Article
Periodic maximal surfaces in the Lorentz–Minkowski space L3
Fernández Delgado, Isabel; López, Francisco J. (Springer, 2007)A maximal surface S with isolated singularities in a complete flat Lorentzian 3manifold N is said to be entire if it ...

Master's Final Project
El problema de Hopf para superficies de Weingarten
Cerezo Cid, Alberto (20220622)The aim of this work is to study Hopf’s theorem, a classical result which characterizes constant mean curvature spheres ...

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