We study lightlike hypersurfaces of an indefinite generalized Sasakian space form , with indefinite trans-Sasakian structure of type , subject to the condition that the structure vector field of is tangent to . First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type . Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.
Dae Ho Jin. "Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms." J. Appl. Math. 2015 1 - 9, 2015. https://doi.org/10.1155/2015/259146