Antonio Bueno

activity

20242026

collaborators

8 papers

math.DG2026

Invariant $λ$ -translators in the Heisenberg group

Antonio Bueno

We study oriented surfaces in the Heisenberg space $Nil_{3}$ whose mean curvature $H$ at each point is $H = ⟨ N, \partial_{z} ⟩ + λ$ , where $N$ is the unit normal, $\par…

math.DG2026

Invariant $λ$ -translators in $S^{2} \times R$

Antonio Bueno

A $λ$ -translator in $S^{2} \times R$ is an oriented surface whose mean curvature $H$ satisfies $H = ⟨ N, \partial_{z} ⟩ + λ$ , where $N$ is the unit normal, $\part…

math.DG2025

Extension of a problem of Euler in $H^{2}$ and in $S^{2}$

Muhittin Evren Aydin, Antonio Bueno, Rafael López

In this paper, we extend the notion of stationary curves with respect to the moment of inertia from a point $N$ in the Euclidean plane $R^{2}$ to the case that the ambient s…

math.DG2024

Stability of cylinders in $E (κ, τ)$ homogeneous spaces

Antonio Bueno, Rafael López

We extend the classical Plateau-Rayleigh instability criterion in the $E (κ, τ)$ spaces. We prove the existence of a positive number $L_{0} > 0$ such that if a truncated circula…

math.DG2024

The class of grim reapers in $H^{2} \times R$

Antonio Bueno, Rafael López

We study translators of the mean curvature flow in the product space $\h^2\times\r$. In $\h^2\times\r$ there are three types of translations: vertical translations due to the facto…

math.DG2024

Invariant $λ$ -translators in Lorentz-Minkowski space

Antonio Bueno, Irene Ortiz

Given $λ \in R$ and $v \in L^{3}$ , a $λ$ -translator with velocity $v$ is an immersed surface in $L^{3}$ whose mean curvature satisfies $H=\lang…

math.DG2024

A new family of translating solitons in hyperbolic space

Antonio Bueno, Rafael López

If $ξ$ is a Killing vector field of the hyperbolic space $\h^3$ whose flow are parabolic isometries, a surface $Σ\subset\h^3$ is a $ξ$ -translator if its mean curvature $H$ satisfie…

math.DG2024

Horo-shrinkers in the hyperbolic space

Antonio Bueno, Rafael López

A surface $Σ$ in the hyperbolic space $\h^3$ is called a horo-shrinker if its mean curvature $H$ satisfies $H = ⟨ N, \partial_{z} ⟩$ , where $(x, y, z)$ are the coordinates of $…

Invariant λ-translators in the Heisenberg group

Invariant λ-translators in S2×R

Extension of a problem of Euler in H2 and in S2

Stability of cylinders in E(κ,τ) homogeneous spaces

The class of grim reapers in H2×R

Invariant λ-translators in Lorentz-Minkowski space

A new family of translating solitons in hyperbolic space

Horo-shrinkers in the hyperbolic space

Invariant $λ$ -translators in the Heisenberg group

Invariant $λ$ -translators in $S^{2} \times R$

Extension of a problem of Euler in $H^{2}$ and in $S^{2}$

Stability of cylinders in $E (κ, τ)$ homogeneous spaces

The class of grim reapers in $H^{2} \times R$

Invariant $λ$ -translators in Lorentz-Minkowski space