English

Induced Semi-Riemannian structures on null submanifolds

General Mathematics 2021-12-15 v1

Abstract

In this paper, we induce a semi-Riemannian metric on the rr-null submanifold. We establish the links between the null geometry and basics invariants of the associated semi-Riemannian geometry on rr-null submanifold and semi-Riemannian constructed from a semi-Riemannian ambient.

Keywords

Cite

@article{arxiv.2112.07348,
  title  = {Induced Semi-Riemannian structures on null submanifolds},
  author = {Ménédore Karimumuryango and Domitien Ndayirukiye and Gilbert Nibaruta and Aboubacar Nibirantiza},
  journal= {arXiv preprint arXiv:2112.07348},
  year   = {2021}
}
R2 v1 2026-06-24T08:16:39.371Z