JOAQUÍN
PÉREZ MUÑOZ
CATEDRÁTICO DE UNIVERSIDAD
Publicaciones (44) Publicaciones de JOAQUÍN PÉREZ MUÑOZ
2024
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Geometry of branched minimal surfaces of finite index
Advanced Nonlinear Studies , Vol. 24, Núm. 1, pp. 206-221
2023
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Generalized Henneberg Stable Minimal Surfaces
Results in Mathematics, Vol. 78, Núm. 2
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Geometry of CMC surfaces of finite index
Advanced Nonlinear Studies, Vol. 23, Núm. 1
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Hierarchy structures in finite index CMC surfaces
Advances in Calculus of Variations
2022
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CONSTANT MEAN CURVATURE SPHERES IN HOMOGENEOUS THREE-SPHERES
Journal of Differential Geometry, Vol. 120, Núm. 2, pp. 307-343
2021
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Constant mean curvature spheres in homogeneous three-manifolds
Inventiones Mathematicae, Vol. 224, Núm. 1, pp. 147-244
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The embedded Calabi–Yau conjecture for finite genus
Duke Mathematical Journal, Vol. 170, Núm. 13, pp. 2891-2956
2020
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Structure theorems for singular minimal laminations
Journal fur die Reine und Angewandte Mathematik, Vol. 2020, Núm. 763, pp. 271-312
2019
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Bounds on the topology and index of minimal surfaces
Acta Mathematica, Vol. 223, Núm. 1, pp. 113-149
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Embedded minimal surfaces of finite topology
Journal fur die Reine und Angewandte Mathematik, Vol. 2019, Núm. 753, pp. 159-191
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The geometry of stable minimal surfaces in metric lie groups
Transactions of the American Mathematical Society, Vol. 372, Núm. 2, pp. 1023-1056
2018
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The local picture theorem on the scale of topology
Journal of Differential Geometry, Vol. 109, Núm. 3, pp. 509-565
2017
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A new golden age of minimal surfaces
Notices of the American Mathematical Society, Vol. 64, Núm. 4, pp. 347-358
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Embeddedness of Spheres in Homogeneous Three-Manifolds
International Mathematics Research Notices, Vol. 2017, Núm. 15, pp. 4796-4813
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Finite topology minimal surfaces in homogeneous three-manifolds
Advances in Mathematics, Vol. 312, pp. 185-197
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Finite type annular ends for harmonic functions
Mathematische Annalen, Vol. 367, Núm. 3-4, pp. 1047-1056
2016
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CMC Foliations of Closed Manifolds
Journal of Geometric Analysis, Vol. 26, Núm. 3, pp. 1647-1677
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Local removable singularity theorems for minimal laminations
Journal of Differential Geometry, Vol. 103, Núm. 2, pp. 319-362
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The Dynamics Theorem for properly embedded minimal surfaces
Mathematische Annalen, Vol. 365, Núm. 3-4, pp. 1069-1089
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The classification of CMC foliations of ℝ3 and 𝕊3 with countably many singularities
American Journal of Mathematics, Vol. 138, Núm. 5, pp. 1347-1382