International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 68, Pages 3737-3753

Screen conformal half-lightlike submanifolds

K. L. Duggal1 and B. Sahin2

1Department of Mathematics and Statistics, University of Windsor, Windsor N9B 3P4, Ontario, Canada
2Department of Mathematics, Inonu University, Malatya 44100, Turkey

Received 18 March 2004

Copyright © 2004 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 study some properties of a half-lightlike submanifold M, of a semi-Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S(TM) of M is integrable and the geometry of M has a close relation with the nondegenerate geometry of a leaf of S(TM). We prove some results on symmetric induced Ricci tensor and null sectional curvature of this class.