Antonio Bueno

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20242026

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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 $…

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

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