English

On timelike Bonnet surfaces in Lorentzian 3-manifold

Differential Geometry 2024-02-14 v1

Abstract

In this paper we generalized a result of Soley Ersoy and Kemal Eren [10] about Bonnet timelike surface in Minkowski 3-space. We give a necessary and sufficient condition for a surface M in a Lorentzian 3-space to be timelike Bonnet surface. At the end, a theorem of classification of timelike Bonnet surface in a Lorentzian 3-space is given.

Keywords

Cite

@article{arxiv.2402.08111,
  title  = {On timelike Bonnet surfaces in Lorentzian 3-manifold},
  author = {Athoumane Niang and Ameth Ndiaye and Adama Thiandoum},
  journal= {arXiv preprint arXiv:2402.08111},
  year   = {2024}
}