Volume 46_3_(2025)_213-228

Non-existence of certain lightlike hypersurfaces of an indefinite Sasakian manifold
Samuel Ssekajja

Abstract. We consider a lightlike hypersurface, tangent to the structure vector field, of an indefinite Sasakian manifold. We prove that no such a hypersurface can either have parallel or recurrent second fundamental forms. In addition to the above, we also prove that no such a hypersurface may have parallel or recurrent induced structural tensors

Rend. Mat. Appl. (7) 46 (2025) 213-228;  pdf