- Hacettepe Journal of Mathematics and Statistics
- Vol: 39 Issue: 1
- SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS
SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS
Authors : Bayram Sahin, Yilmaz Gündüzalp
Pages : 41-53
View : 15 | Download : 5
Publication Date : 2010-01-01
Article Type : Research
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