International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 605816, 12 pages
http://dx.doi.org/10.1155/2012/605816
Research Article

On GCR-Lightlike Product of Indefinite Cosymplectic Manifolds

Varun Jain,1 Rakesh Kumar,2 and R. K. Nagaich3

1Department of Mathematics, Multani Mal Modi College, Patiala 147001, India
2Department of Basic & Applied Sciences, University College of Engineering, Punjabi University Patiala, Patiala 147002, India
3Department of Mathematics, Punjabi University Patiala, Patiala 147002, India

Received 26 March 2012; Revised 15 May 2012; Accepted 10 July 2012

Academic Editor: Hernando Quevedo

Copyright © 2012 Varun Jain et al. 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.

Abstract

We define GCR-lightlike submanifolds of indefinite cosymplectic manifolds and give an example. Then, we study mixed geodesic GCR-lightlike submanifolds of indefinite cosymplectic manifolds and obtain some characterization theorems for a GCR-lightlike submanifold to be a GCR-lightlike product.