A Cauchy problem for minimal spacelike surfaces in ${\mathbb{R}}_2^4$

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

We give a definition of isoclinic parametric surfaces in ${\mathbb{R}}_2^4$ and prove that such an isoclinic conformal immersion comes from two holomorphic functions. A Cauchy proble…