Submersion from semi-Riemannian manifolds onto lightlike manifolds
Articles > Article · 2010
Authors: Bayram ŞAHİN, Yilmaz Gündüzalp
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, Journal Indexed in SCI Expanded, International, Scopus, 2010, vol 39, pp 41-53
Summary
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.