SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

Year 2026, Issue: Advanced Online Publication, 41 - 53, 03.07.2019

Bayram Şahin Yılmaz Gündüzalp

Abstract

In this paper, we introduce the idea of a lightlike submersion from
a semi-Riemannian manifold onto a lightlike manifold, and give some
examples. Then we define O’Neill’s tensors for such submersions and
investigate their main properties. We show that the Schouten connection is not a metric connection in a lightlike submersion. We also investigate curvature properties of the manifolds and establish a relation
between the null sectional curvatures of a semi-Riemannian manifold
and a lightlike manifold. 

Keywords

Lightlike Manifold , Submersion , Lightlike submersion

References

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