A spinor description of flat surfaces in R^4
Differential Geometry
2013-10-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1310.3326,
title = {A spinor description of flat surfaces in R^4},
author = {Pierre Bayard},
journal= {arXiv preprint arXiv:1310.3326},
year = {2013}
}
Comments
33 pages