LIGHTLIKE HYPERSURFACES OF AN INDEFINITE STATISTICAL MANIFOLD

In this paper, various properties of the killing and geodesic light like hypersurfaces of an indefinite statistical manifold have been developed. The characterizations of parallel vector fields and the screen distributions with respect to the dual connections in light like hypersurfaces have been obtained. The Lie-derivatives of the induced metric and second fundamental form have been established. Also, some formulae for the curvature tensors of the light like hypersurfaces of the indefinite statistical manifold have been developed and further used to prove assertions related to parallelism of light like transversal vector bundle and geodesicity of the lightlike hypersurface.