Turkish Journal of Mathematics
Abstract
The main purpose of the present paper is to study the geometry of transversal lightlike submanifolds and radical transversal lightlike submanifolds of metallic semi-Riemannian manifolds. We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be a metric connection. We also obtain characterization of transversal lightlike submanifolds of metallic semi-Riemannian manifolds. Finally, we give two examples.
DOI
10.3906/mat-1804-88
Keywords
Metallic structure, metallic semi-Riemannian manifold, lightlike submanifolds, transversal lightlike submanifolds, radical transversal submanifolds
First Page
3133
Last Page
3148
Recommended Citation
ERDOĞAN, F. E (2018). Transversal lightlikesubmanifolds of metallic semi-Riemannian manifolds. Turkish Journal of Mathematics 42 (6): 3133-3148. https://doi.org/10.3906/mat-1804-88
