Title of article :
Transversal lightlike submanifolds of indefinite sasakian manifolds
Author/Authors :
Yıldırım, Cumali Adıyaman University - Faculty of Science and Arts - Department of Mathematics, TURKEY , Sahin, Bayram Inonu University - Faculty of Arts and Sciences - Department of Mathematics, TURKEY
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.
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
