Original Article
Kyungpook Mathematical Journal 2015; 55(4): 1097-1104
Published online December 23, 2015
Copyright © Kyungpook Mathematical Journal.
Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface
Dae Ho Jin
In this paper, we study the geometry of indefinite generalized Sasakian space form $ar{M}(f_1, f_2, f_3)$ admitting a lightlike hypersurface $M$ subject such that the almost contact structure vector field $zeta$ of $ar{M}(f_1, f_2, f_3)$ is tangent to $M$. We prove a classification theorem of such an indefinite generalized Sasakian space form.
Keywords: indefinite generalized Sasakian space form,indefinite trans-Sasakian manifold, lightlike hypersurface