A. Filho

collaborators

3 papers

math.DG2019

Timelike surfaces in the de Sitter space $S_{1}^{3} (1) \subset R_{1}^{4}$

M. P. Dussan, A. P. Franco Filho, M. Magid

This paper studies timelike minimal surfaces in the De Sitter space $S_{1}^{3} (1) \subset R_{1}^{4}$ via a complex variable. Using complex analysis and stereographic projec…

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…

Timelike surfaces in the de Sitter space S13​(1)⊂R14​

A Cauchy problem for minimal spacelike surfaces in R24​

On The Björling Problem For Lightlike Curves In R14​

Timelike surfaces in the de Sitter space $S_{1}^{3} (1) \subset R_{1}^{4}$

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

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