Induced Semi-Riemannian structures on null submanifolds

2021/12/09 by Karimumuryango, Ménédore, Ndayirukiye, Domitien, Nibaruta, Gilbert +1
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2112.07348

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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