2 citations · 5 across the 6 of their papers we have counts for
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A Liouville-Weierstrass correspondence for Spacelike and Timelike Minimal Surfaces in
Adriana A. Cintra, Iury Domingos, Irene I. Onnis
We investigate a correspondence between solutions of the Liouville equation \[ Δλ= -\varepsilon e^{-4λ}, \] and the Weierstrass representations of spacelike ($\varepsilon…
A family of MCF solutions for the Heisenberg Group
Benedito Leandro, Adriana Araujo Cintra, Hiuri Fellipe dos Santos Reis
The aim of this paper is to investigate the mean curvature flow soliton solutions on the Heisenberg group when the initial data is a ruled surface by straight lines.…
Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space
Irene I. Onnis, Adriana A. Cintra
In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz-Minkowski space , using the complex and the paracomplex…
Conformal vector fields on Lie groups
Adriana Araujo Cintra, Zhiqi Chen, Benedito Leandro Neto
In this paper, we investigated the behavior of left-invariant conformal vector fields on Lie groups with left-invariant pseudo-Riemannian metrics. First of all, we prove that confo…
Minimal surfaces in 4-dimensional Lorentzian Damek-Ricci spaces
Adriana A. Cintra, Francesco Mercuri, Irene I. Onnis
In this paper we will construct a Weierstrass type representation for minimal surfaces in 4-dimensional Lorentzian Damek-Ricci spaces and we give some examples of such surfaces.
The Björling problem for minimal surfaces in a Lorentzian three-dimensional Lie group
Adriana A. Cintra, Francesco Mercuri, Irene I. Onnis
In this paper we will show the existence and uniqueness of the solution of the Björling problem for minimal surfaces in a 3-dimensional Lorentzian Lie group.