- Turkish Journal of Mathematics
- Vol: 34 Issue: 4
- Transversal lightlike submanifolds of indefinite sasakian manifolds
Transversal lightlike submanifolds of indefinite sasakian manifolds
Authors : Cumali Yildirim, Cumali Yıldırım, Bayram Şahin
Pages : 561-583
View : 8 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We study both radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection. We also study totally contact umbilical radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds and obtain a classification theorem for totally contact umbilical transversal lightlike submanifolds.Keywords : Indefinite Sasakian Manifold, Lightlike Submanifold, Radical Transversal Lightlike Submanifold, Transversal Lightlike Submanifold