2 citations · 3 across the 7 of their papers we have counts for
7 papers
Spacelike minimal surfaces in R^4_1 through of a -Family
M. P. Dussan, A. P. Franco Filho, R. S. Santos
In this paper we introduce a -family of spacelike surfaces in the Lorentz-Minkowski space R^4_1 based in two complex valued functions , which when they are holomorph…
Geodesic Lines in Fields of Velocity
M. P. Dussan, A. P. Franco Filho
This work is a purely syntactic geometric exploration of some few elements, which are our axioms, that in last instance it is the set of differential equations whose solutions give…
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…
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…
Minimal surfaces in the product of two dimensional real space forms endowed with a neutral metric
Martha P. Dussan, Nikos Georgiou, Martin Magid
We investigate minimal surfaces in products of two-spheres , with the neutral metric given by . Here ${\mathbb S}^2_p\subset {\mathbb…
Björling problem for timelike surfaces in the Lorentz-Minkowski space
Rosa M. B. Chaves, Martha P. Dussan, Martin Magid
We introduce a new approach to the study of timelike minimal surfaces in the Lorentz-Minkowski space through a split-complex representation formula for this kind of surface. As app…