%0 Journal Article
%T A spinor description of flat surfaces in R^4
%A Pierre Bayard
%J Mathematics
%D 2013
%I arXiv
%X We describe the flat surfaces with flat normal bundle and regular Gauss map immersed in R^4 using spinors and Lorentz numbers. We obtain a new proof of the local structure of these surfaces. We also study the flat tori in the sphere S^3 and obtain a new representation formula. We then deduce new proofs of their global structure, and of the global structure of their Gauss map image.
%U http://arxiv.org/abs/1310.3326v1