English

On the Weyl problem in Minkowski space

Differential Geometry 2020-05-05 v1

Abstract

Let SS be a closed surface of hyperbolic type. We show that, for every pair (g+,g)(g_+,g_-) of negatively curved metrics over SS there exists a unique GHMC Minkowski spacetime XX into which (S,g+)(S,g_+) and (S,g)(S,g_-) isometrically embed as Cauchy surfaces in the future and past components respectively.

Keywords

Cite

@article{arxiv.2005.01137,
  title  = {On the Weyl problem in Minkowski space},
  author = {Graham Smith},
  journal= {arXiv preprint arXiv:2005.01137},
  year   = {2020}
}
R2 v1 2026-06-23T15:16:34.752Z