On lightlike hypersurfaces of cosymplectic space form

The main purpose of this paper is to study the lightlike hypersurface (M, g over bar ) of cosymplectic space form over bar M(c). In this paper, we computed the Gauss and Codazzi formulae of (M, g over bar ) of cosymplectic manifold ( over bar M, g). We showed that we can't obtain screen semi-invariant lightlike hypersurface (SCI-LH) of over bar M(c) with parallel second fundamental form h, parallel screen distribution and c =6 0. We showed that if second fundamental form h and local second fundamental form B are parallel, then (M, g over bar ) is totally geodesic. Finally we showed that if (M, g over bar ) is umbilical, then cosymplectic manifold ( over bar M, g) is flat.