Investigación

Mi investigación tiene lugar en el Análisis Geométrico, una disciplina que se encuentra en la intersección entre la Geometría Diferencial y el Análisis Matemático. Concretamente, estudio superficies en espacios homogéneos de dimensión 3, definidas mediante una relación predeterminada de las curvaturas principales y su aplicación de Gauss. Para tal fin y con un interés por sí mismo, analizo las propiedades de las ecuaciones en derivadas parciales que localmente definen estas superficies.

• [26] A. Bueno, R. López, Compact lambda-translators in H2xR with boundary, Revista Matemática Complutense, accepted
• [25] A. Bueno, R. López, A new family of translating solitons in hyperbolic space, Journal of the Korean Mathematical Society, 62 (2026).

• [24] A. Bueno, I. Ortiz, Invariant lambda-translators in Lorentz-Minkowski space, Annali di Matematica Pura ed Applicata, (2025) https://doi.org/10.1007/s10231-025-01630-8.
• [23] A. Bueno, R. López, Horo-shrinkers in the hyperbolic space, Taiwanese Journal of Mathematics, 29 (2025).
• [22] A. Bueno, R. López, Stability of cylinders in E(κ,τ) homogeneous spaces, Mediterranean Journal of Mathematics, 22 (2025).
• [21] A. Bueno, R. López, The class of grim reapers in H2xR, Journal of Mathematical Analysis and Applications, 541 (2025).

• [20] A. Bueno, R. López, On the stability of Killing cylinders in hyperbolic space, Journal of Geometric Analysis, 34 (2024).
• [19] A. Bueno, I. Ortiz, R. López, The Plateau-Rayleigh instability of translating lambda-solitons, Results in Mathematics, 79 (2024).
• [18] A. Bueno, I. Ortiz, Rotational surfaces of prescribed Gauss curvature in R3, Tohoku Mathematical Journal, 76 (2024).

• [17] A. Bueno, R. López, Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map, Annals of Global Analysis and Geometry, 64 (2023).
• [16] A. Bueno, R. López, Radial solutions for equations of Weingarten type, Journal of Mathematical Analysis and Applications, 517 (2023).
• [15] A. Bueno, I. Ortiz, Surfaces of prescribed linear Weingarten curvature in R3, Proceedings of the Royal Society of Edinburgh, Section A., 153 (2023).

• [14] A. Bueno, Delaunay surfaces of prescribed mean curvature in Berger spheres, Journal of Geometry and Physics, 171 (2022).
• [13] A. Bueno, Delaunay surfaces of prescribed mean curvature in Nil3 and Sl(2,R), Journal of Geometric Analysis, 32 (2022).
• [12] A. Bueno, I. Ortiz, Rotational surfaces with prescribed mean curvature in H2xR, Annali di Matematica Pura ed Applicata, 201 (2022)

• [11] A. Bueno, A Delaunay-type classification result for prescribed mean curvature surfaces in M2(k)xR, Pacific Journal of Mathematics, 313 (2021).
• [10] A. Bueno, Properly embedded surfaces with prescribed mean curvature in H2xR, Annals of Global Analysis and Geometry, 59 (2021).

• [9] A. Bueno, J. A. Gálvez, P. Mira, Rotational hypersurfaces of prescribed mean curvature, Journal of Differential Equations, 268 (2020).
• [8] A. Bueno, J. A. Gálvez, P. Mira, The global geometry of surfaces with prescribed mean curvature in R3, Transactions of the American Mathematical Society, 373 (2020).
• [7] A. Bueno, I. Ortiz Invariant hypersurfaces with linear prescribed mean curvature, Journal of Mathematical Analysis and Applications, 487 (2020).
• [6] A. Bueno, Uniqueness of the bowl soliton in H2xR, Journal of Geometry, 111 (2020).
• [5] A. Bueno, Half-space theorems for properly immersed surfaces in R3 with prescribed mean curvature, Annali di Matematica Pura ed Applicata, 199 (2020).

• [4] A. Bueno, The Björling problem for prescribed mean curvature surfaces in R3, Annals of Global Analysis and Geometry, 56 (2019).
• [3] A. Bueno, Height estimates for constant mean curvature graphs in Nil3 and PSL2(R), Archiv der Mathematik, 112 (2019).

• [2] A. Bueno, R. López, Translation surfaces of linear Weingarten type, An. S ̧tiin ̧t. Univ. Al. I. Cuza Ia ̧si. Mat. (N.S.), Tomul LXIV, 1 (2018).
• [1] A. Bueno, Translating solitons of the mean curvature flow in the space H2xR, Journal of Geometry, 109 (2018).

• A. Bueno, M. E. Aydin, R. López, Extension of a problem of Euler in H2 and in S2.

• Superficies con curvatura media predeterminada, (2019). Puedes encontrar una copia aquí.