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.

Puedes encontrar una información equivalente sobre mi investigación en la página del Portal de Investigación de la Universidad de Murcia.

• [24] A. Bueno, I. Ortiz, Invariant lambda-translators in Lorentz-Minkowski space, Annali di Matematica Pura ed Applicata, 205 (2025)
• [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).

• [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.