English

The geometry of lightlike surfaces in Minkowski space

Differential Geometry 2015-06-15 v1

Abstract

We investigate the geometric properties of lightlike surfaces in the Minkowski space R2,1\R^{2,1}, using Cartan's method of moving frames to compute a complete set of local invariants for such surfaces. Using these invariants, we give a complete local classification of lightlike surfaces of constant type in R2,1\R^{2,1} and construct new examples of such surfaces.

Keywords

Cite

@article{arxiv.1302.7015,
  title  = {The geometry of lightlike surfaces in Minkowski space},
  author = {Brian Carlsen and Jeanne N. Clelland},
  journal= {arXiv preprint arXiv:1302.7015},
  year   = {2015}
}