Original Article
Kyungpook Mathematical Journal 2013; 53(4): 593-602
Published online December 23, 2013
Copyright © Kyungpook Mathematical Journal.
Ricci Semi-Symmetric Lightlike Hypersurfaces of an Indefinite Cosymplectic Space Form
Ram Shankar Gupta
University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Sector - 16 C, Dwarka, New Delhi-110078, India
This paper is devoted to study Ricci semi-symmetric lightlike hypersurfaces of an indefinite cosymplectic space form with structure vector field tangent to hypersurface. The condition for Ricci tensor of lightlike hypersurface of indefinite cosymplectic space form to be semi-symmetric and parallel have been obtained. An example of non-totally geodesic Ricci semi-symmetric lightlike hypersurface in $R_{2}^{7}$ have been given.
Keywords: Degenerate metric, lightlike hypersurfaces, indefinite cosymplectic space form