SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

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Hacettepe Journal of Mathematics and Statistics
Volume:39 Issue:1
SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

Authors : Bayram SAHİN, Yilmaz GÜNDÜZALP

Pages : 41-53

View : 99 | Download : 23

Publication Date : 2010-01-01

Article Type : Research Paper

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

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