On the Geometry of Null Real Hypersurfaces of an Indefinite Complex Contact Manifold

We study the geometry of null real hypersurfaces in indefinite complex contact manifolds. We prove several classification results for a variety of well-known null hypersurfaces, including the totally umbilic, totally screen umbilic, and the screen conformal ones. Furthermore, a characterisation of the ambient space is given in case the underlying null hypersurface is totally contact umbilic, totally contact screen umbilic, or contact screen conformal, i.e., we have proved that the ambient complex contact manifold must be a space of constant GH-sectional curvature of −3