English

On The Bj\"orling Problem For Lightlike Curves In $\mathbb{R}^4_1$

Differential Geometry 2019-11-19 v2

Abstract

In this work we provide necessary and sufficient conditions for the existence of a minimal timelike strip in Lorentz-Minkowski space R14\mathbb{R}^4_1 containing a given lightlike curve and prescribed normal bundle. We also discuss uniqueness of solutions.

Cite

@article{arxiv.1905.01196,
  title  = {On The Bj\"orling Problem For Lightlike Curves In $\mathbb{R}^4_1$},
  author = {Antonio de Padua Franco Filho and Alexandre Lymberopoulos},
  journal= {arXiv preprint arXiv:1905.01196},
  year   = {2019}
}
R2 v1 2026-06-23T08:56:18.488Z