Lightlike hypersurfaces of indefinite generalized Sasakian space forms (Q305483)

Summary: We study lightlike hypersurfaces \(M\) of an indefinite generalized Sasakian space form \(\overline{M}(f_1, f_2, f_3)\), with indefinite trans-Sasakian structure of type \((\alpha, \beta)\), subject to the condition that the structure vector field of \(\overline{M}\) is tangent to \(M\). First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type \((\alpha, \beta)\). Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.