A. Lymberopoulos

collaborators

3 papers

math.DG2019

A Cauchy problem for minimal spacelike surfaces in $R_{2}^{4}$

Alexandre Lymberopoulos, Antonio de Padua Franco Filho, Anuar Enrique Paternina Montalvo

We give a definition of isoclinic parametric surfaces in $R_{2}^{4}$ and prove that such an isoclinic conformal immersion comes from two holomorphic functions. A Cauchy proble…

math.DG2019

On The Björling Problem For Lightlike Curves In $R_{1}^{4}$

Antonio de Padua Franco Filho, Alexandre Lymberopoulos

In this work we provide necessary and sufficient conditions for the existence of a minimal timelike strip in Lorentz-Minkowski space $R_{1}^{4}$ containing a given lightlike c…

math.DG2016

A local characterization for constant curvature metrics in 2-dimensional Lorentz manifolds

Ivo Terek, Alexandre Lymberopoulos

In this paper we define Fermi-type coordinates in a 2-dimensional Lorentz manifold, and use this coordinate system to provide a local characterization of constant Gaussian curvatur…

A Cauchy problem for minimal spacelike surfaces in R24​

On The Björling Problem For Lightlike Curves In R14​

A local characterization for constant curvature metrics in 2-dimensional Lorentz manifolds

A Cauchy problem for minimal spacelike surfaces in $R_{2}^{4}$

On The Björling Problem For Lightlike Curves In $R_{1}^{4}$