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.
"Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms." J. Appl. Math. 2015 1 - 9, 2015. https://doi.org/10.1155/2015/259146