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pro vyhledávání: '"Bueno, Antonio"'
Autor:
Bueno, Antonio, López, Rafael
We extend the classical Plateau-Rayleigh instability criterion in the $\mathbb{E}(\kappa,\tau)$ spaces. We prove the existence of a positive number $L_0>0$ such that if a truncated circular cylinder of radius $\rho$ in $\mathbb{E}(\kappa,\tau)$ has l
Externí odkaz:
http://arxiv.org/abs/2407.05668
Autor:
Bueno, Antonio, López, Rafael
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 case, we consider a variety of totally umbilical support surfaces, incl
Externí odkaz:
http://arxiv.org/abs/2407.05661
Autor:
Bueno, Antonio, Ortiz, Irene
Given $\lambda\in\mathbb{R}$ and $\textbf{v}\in\mathbb{L}^3$, a $\lambda$-translator with velocity $\textbf{v}$ is an immersed surface in $\mathbb{L}^3$ whose mean curvature satisfies $H=\langle N,\textbf{v}\rangle+\lambda$, where $N$ is a unit norma
Externí odkaz:
http://arxiv.org/abs/2402.07237
Autor:
Bueno, Antonio, López, Rafael
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 factor $\r$ and parabolic and hyperbolic translations from $\h^2$. A grim r
Externí odkaz:
http://arxiv.org/abs/2402.05772
Autor:
Bueno, Antonio, López, Rafael
If $\xi$ is a Killing vector field of the hyperbolic space $\h^3$ whose flow are parabolic isometries, a surface $\Sigma\subset\h^3$ is a $\xi$-translator if its mean curvature $H$ satisfies $H=\langle N,\xi\rangle$, where $N$ is the unit normal of $
Externí odkaz:
http://arxiv.org/abs/2402.05533
Autor:
Bueno, Antonio, López, Rafael
A surface $\Sigma$ in the hyperbolic space $\h^3$ is called a horo-shrinker if its mean curvature $H$ satisfies $H=\langle N,\partial_z\rangle$, where $(x,y,z)$ are the coordinates of $\h^3$ in the upper half-space model and $N$ is the unit normal of
Externí odkaz:
http://arxiv.org/abs/2402.05527
Autor:
Bueno, Antonio, López, Rafael
Given a $C^1$ function $\mathcal{H}$ defined in the unit sphere $\mathbb{S}^2$, an $\mathcal{H}$-surface $M$ is a surface in the Euclidean space $\mathbb{R}^3$ whose mean curvature $H_M$ satisfies $H_M(p)=\mathcal{H}(N_p)$, $p\in M$, where $N$ is the
Externí odkaz:
http://arxiv.org/abs/2302.01720
Given a unit vector $\textbf{v}\in\mathbb{R}^3$ and $\lambda\in\mathbb{R}$, a translating $\lambda$-soliton is a surface in $\mathbb{R}^3$ whose mean curvature $H$ satisfies $H=\langle N,\textbf{v}\rangle+\lambda,\ |\textbf{v}|=1$, where $N$ is the G
Externí odkaz:
http://arxiv.org/abs/2301.06042