5 papers · 1 filter
Minimal spacelike surfaces and the graphic equations in R^4_1
M. P. Dussan, A. P. Franco Filho, R. S. Santos
In this paper we study an extension of the Bernstein Theorem for minimal spacelike surfaces of the four dimensional Minkowski vector space form and we obtain the class of those sur…
Timelike surfaces in the de Sitter space
M. P. Dussan, A. P. Franco Filho, M. Magid
This paper studies timelike minimal surfaces in the De Sitter space via a complex variable. Using complex analysis and stereographic projec…
A Cauchy problem for minimal spacelike surfaces in
Alexandre Lymberopoulos, Antonio de Padua Franco Filho, Anuar Enrique Paternina Montalvo
We give a definition of isoclinic parametric surfaces in and prove that such an isoclinic conformal immersion comes from two holomorphic functions. A Cauchy proble…
On The Björling Problem For Lightlike Curves In
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 containing a given lightlike c…
Some partial differential equations and conformal surfaces of the 4-dimensional Minkowski space
Martha P. Dussan, A. P. Franco Filho, P. Simoes
This paper introduces a complex representation for spacelike surfaces in the Lorentz-Minkowski space , based in two complex valued functions which can be assumed to be holomor…