Daniel Bustos

activity

20182020

collaborators

3 papers

math.DG2020

On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation

Ari Aiolfi, Daniel Bustos, Jaime Ripoll

Given an exterior domain $Ω$ with $C^{2, α}$ boundary in $R^{n}$ , $n \geq 3$ , we obtain a $1$ -parameter family $u_{γ} \in C^{\infty} (Ω)$ , $\left\vert γ\right\vert \l…

math.DG2019

Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications

Daniel Bustos, Jaime Ripoll

It is proved some results about existence and non existence of unit normal sections of submanifolds of the Euclidean space and sphere which associated Gauss maps are harmonic. Some…

math.DG2018

Minimal isoparametric submanifolds of $S^{7}$ and octonionic eigenmaps

Fidelis Bittencourt, Daniel Bustos, Edson Figueiredo +2

We use the octonionic multiplication $\cdot$ of $S^{7}$ to associate, to each unit normal section $η$ of a submanifold $M$ of $S^{7},$ an octonionic Gauss map $γ_…

On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation

Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications

Minimal isoparametric submanifolds of S7 and octonionic eigenmaps

Minimal isoparametric submanifolds of $S^{7}$ and octonionic eigenmaps