1 citations · 1 across the 7 of their papers we have counts for
7 papers
Stability of cylinders in homogeneous spaces
Antonio Bueno, Rafael López
We extend the classical Plateau-Rayleigh instability criterion in the spaces. We prove the existence of a positive number such that if a truncated circula…
On the stability of Killing cylinders in hyperbolic space
Antonio Bueno, Rafael López
In this paper we study the stability of a Killing cylinder in hyperbolic 3-space when regarded as a capillary surface for the partitioning problem. In contrast with the Euclidean c…
The class of grim reapers in
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…
Invariant -translators in Lorentz-Minkowski space
Antonio Bueno, Irene Ortiz
Given and , a -translator with velocity is an immersed surface in whose mean curvature satisfies $H=\lang…
Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map
Antonio Bueno, Rafael López
Given a function defined in the unit sphere , an -surface is a surface in the Euclidean space whose mean curvature…
The Plateau-Rayleigh instability of translating -solitons
Antonio Bueno, Rafael López, Irene Ortiz
Given a unit vector and , a translating -soliton is a surface in whose mean curvature satisfies $H=\langle N,\text…