摘要

We give a generalized Weierstrass formula for a Lorentz surface conformally immersed in the four-dimensional space R-2,R-2 using spinors and Lorentz numbers. We also study the immersions of a Lorentzian surface in the Anti-de Sitter space (a pseudo-sphere in R-2,R-2): we give a new spinor representation formula and deduce the conformal description of a flat Lorentzian surface in that space.

  • 出版日期2016-7