International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 57585, 21 pages
doi:10.1155/2007/57585
Lightlike submanifolds of indefinite Sasakian manifolds
K.L. Duggal1
and B. Sahin2
1Department of Mathematics and Statistics, University of Windsor, Windsor N9B 3P4, ON, Canada
2Department of Mathematics, Inonu University, Malatya 44280, Turkey
Abstract
We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Riemann (SCR) lightlike submanifolds which include invariant and screen real subcases. Finally, we prove characterization theorems on the existence of contact SCR, screen real, invariant, and contact CR minimal lightlike submanifolds.