International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 57585, 21 pages
Lightlike Submanifolds of Indefinite Sasakian Manifolds
1Department of Mathematics and Statistics, University of Windsor, Windsor N9B 3P4, ON, Canada
2Department of Mathematics, Inonu University, Malatya 44280, Turkey
Received 17 February 2006; Revised 31 October 2006; Accepted 24 January 2007
Academic Editor: Ingo Witt
Copyright © 2007 K. L. Duggal and B. Sahin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.