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, FEYZA ESRA
(2018)
"Transversal lightlikesubmanifolds of metallic semi-Riemannian manifolds,"
Turkish Journal of Mathematics: Vol. 42:
No.
6, Article 25.
https://doi.org/10.3906/mat-1804-88
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss6/25
