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Browsing Artículos (Matemática Aplicada I) by Author "Fernández Delgado, Isabel"
Now showing items 1-20 of 23
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Article
A characterization of constant mean curvature surfaces in homogeneous 3-manifolds
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 ...
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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 ...
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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)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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Article
A theorem of H. Hopf and the Cauchy-Riemann 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 Cauchy-Riemann inequality” [AdCT]. Here the result of the previous paper ...
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Complete maximal surfaces in static Robertson–Walker 3-spaces
Fernández Delgado, Isabel; Mira, Pablo (Springer, 2007)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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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 ...
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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, ...
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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 ...
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Free Boundary Minimal Annuli Immersed in the Unit Ball
Fernández Delgado, Isabel; Hauswirth, Laurent; Mira, Pablo (Springer Link, 2023-11-10)We construct a family of compact free boundary minimal annuli immersed in the unit ball B3 of R3, the first such examples ...
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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)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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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 ...
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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 left-invariant metric. ...
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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)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
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Article
Optimal Divisions of a Convex Body
Cañete Martín, Antonio Jesús; Fernández Delgado, Isabel; Márquez Pérez, Alberto (Ele-Math, 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, ...
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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 3-manifold N is said to be entire if it ...
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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 3-space whose Gauss map image omits an open ...
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Rotational elliptic Weingarten surfaces in S2 × R and the Hopf problem
Fernández Delgado, Isabel (ScienceDirect, 2023-10-15)We prove that, up to congruence, there exists only one immersed sphere satisfying a given uniformly elliptic Weingarten ...
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The Bernstein problem for elliptic Weingarten multigraphs
Fernández Delgado, Isabel; Gálvez, José A.; Mira, Pablo (Cornell University, 2020)We prove that any complete, uniformly ellipticWeingarten surface in Euclidean 3-space whose Gauss map image omits an open ...
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Article
The Gauss map of surfaces in PSL˜2(R)
Daniel, Benoit; Fernández Delgado, Isabel; Mira, Pablo (Springer, 2015)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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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)We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces ...