Fidelis Bittencourt

activity

20172019

collaborators

3 papers

math.DG2019

Asymptotic and exterior Dirichlet problems for the minimal surface equation in the Heisenberg group with a balanced metric

Fidelis Bittencourt, Edson S. Figueiredo, Pedro Fusieger +1

It is proved that the Heisenberg group $Nil_{3}$ with a balanced metric, the sum of the left and right invariant metrics, splits as a Riemannian product $\…

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_…

math.DG2017

Gauss map and the topology of constant mean curvature hypersurfaces of $S^{7}$ and $CP^{3}$

Fidelis Bittencourt, Pedro Fusieger, Eduardo Longa +1

We define a Gauss map $γ : M \to S^{6}$ of an oriented hypersurface $M$ of the unit sphere $S^{7}$ and prove that $γ$ is harmonic if and only if $M$ has CMC.…

Asymptotic and exterior Dirichlet problems for the minimal surface equation in the Heisenberg group with a balanced metric

Minimal isoparametric submanifolds of S7 and octonionic eigenmaps

Gauss map and the topology of constant mean curvature hypersurfaces of S7 and CP3

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

Gauss map and the topology of constant mean curvature hypersurfaces of $S^{7}$ and $CP^{3}$