... in two-dimension space in R4 10 Chapter Basis knowledge 1.1 The Lorentz-Minkowski space n+1 is the (n + 1)Definition 1.1.1 The Lorentz-Minkowski space R1 n+1 = {(x , , x dimensional vector ... of co-dimension two in Lorentz-Minkowski space Introducing the notion of th helicoid surface in R4 and studying the properties of it Study the manifolds with density in Lorentz-Minkowski space ... these special surfaces We would like to give some theorems classifying some special surfaces in Lorentz-Minkowski, for example maximal ruled surface, maximal surfaces of revolution, umbilical...