English

The Lorentzian version of a theorem of Krust

Differential Geometry 2020-05-18 v1

Abstract

In Lorentz-Minkowski space, we prove that the conjugate surface of a maximal graph over a convex domain is also a graph. We provide three proofs of this result that show a suitable correspondence between maximal surfaces in Lorentz-Minkowski space and minimal surfaces in Euclidean space.

Keywords

Cite

@article{arxiv.2005.07657,
  title  = {The Lorentzian version of a theorem of Krust},
  author = {Rafael López},
  journal= {arXiv preprint arXiv:2005.07657},
  year   = {2020}
}