GEOMETRÍA Y TOPOLOGÍA
Departamento
ANTONIO
MARTÍNEZ CEGARRA
CATEDRÁTICO DE UNIVERSIDAD
Publicaciones en las que colabora con ANTONIO MARTÍNEZ CEGARRA (35)
2024
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Calabi-Bernstein type results for critical points of a weighted area functional in R3 and L3
Journal of Mathematical Analysis and Applications, Vol. 538, Núm. 2
2022
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A Weierstrass type representation for translating solitons and singular minimal surfaces
Journal of Mathematical Analysis and Applications, Vol. 516, Núm. 2
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Equilibrium of Surfaces in a Vertical Force Field
Mediterranean Journal of Mathematics, Vol. 19, Núm. 1
2020
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A Calabi's type correspondence
Nonlinear Analysis, Theory, Methods and Applications, Vol. 191
2017
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Improper affine spheres and the Hessian one equation
Differential Geometry and its Application, Vol. 54, pp. 81-90
2015
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Complete surfaces with ends of non positive curvature
Advances in Mathematics, Vol. 281, pp. 1202-1215
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Complete surfaces with non-positive extrinsic curvature in H3 and S3
Journal of Mathematical Analysis and Applications, Vol. 430, Núm. 2, pp. 1058-1064
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Ribaucour type transformations for the Hessian one equation
Nonlinear Analysis, Theory, Methods and Applications, Vol. 112, pp. 147-155
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The geometric Cauchy problem for the hyperbolic Hessian one equation
Nonlinear Analysis, Theory, Methods and Applications, Vol. 125, pp. 323-333
2014
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Flat fronts in hyperbolic 3-space with prescribed singularities
Annals of Global Analysis and Geometry, Vol. 46, Núm. 3, pp. 227-239
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On the generalized Weyl problem for flat metrics in the hyperbolic 3-space
Journal of Mathematical Analysis and Applications, Vol. 410, Núm. 1, pp. 144-150
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Some geometric aspects of the Hessian one equation
Springer Proceedings in Mathematics and Statistics
2011
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An Extension of the Affine Bernstein Problem
Results in Mathematics, Vol. 60, Núm. 1, pp. 157-174
2010
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Complete flat surfaces with two isolated singularities in hyperbolic 3-space
Journal of Mathematical Analysis and Applications, Vol. 366, Núm. 2, pp. 582-592
2009
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Affine maximal surfaces with singularities
Results in Mathematics, Vol. 56, Núm. 1, pp. 91-107
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The affine Cauchy problem
Journal of Mathematical Analysis and Applications, Vol. 351, Núm. 1, pp. 70-83
2008
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The Bonnet problem for surfaces in homogeneous 3-manifolds
Communications in Analysis and Geometry, Vol. 16, Núm. 5, pp. 907-935
2005
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A class of surfaces with flat Blaschke metric and their characterization
Annals of Global Analysis and Geometry, Vol. 28, Núm. 1, pp. 35-57
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The space of solutions to the Hessian one equation in the finitely punctured plane
Journal des Mathematiques Pures et Appliquees, Vol. 84, Núm. 12, pp. 1744-1757
2004
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Complete linear Weingarten surfaces of bryant type. A plateau problem at infinity
Transactions of the American Mathematical Society, Vol. 356, Núm. 9, pp. 3405-3428