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arXiv · 2112.07348

Induced Semi-Riemannian structures on null submanifolds

Ménédore Karimumuryango·Domitien Ndayirukiye·Gilbert Nibaruta·Aboubacar Nibirantiza
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Abstract

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

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Ménédore Karimumuryango, Domitien Ndayirukiye, Gilbert Nibaruta, Aboubacar Nibirantiza. 2021-12-09. Induced Semi-Riemannian structures on null submanifolds. https://arxiv.org/abs/2112.07348

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