SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

Year 2010, Volume: 39 Issue: 1, 41 - 53, 01.01.2010

Bayram Sahin Yilmaz 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, 2000 AMS Classification: 53 C 20

SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

Abstract

References

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