In this paper we study curvature properties of semi-symmetric type of totally umbilical radical transversal lightlike hypersurfaces (M,g) and (M,g) of a Kähler-Norden manifold (M,J,g,g)
Nearby in the stack
of constant totally real sectional curvatures
ν
and
ν
(
g
and
g
are the induced metrics on
M
by the Norden metrics
g
and
g
,respectively). We obtain a condition for
ν
(resp.
ν
) which is equivalent to each of the following conditions:
(M,g)
(resp.(M,g))
is locally symmetric, semi-symmetric, Ricci semi-symmetric and almost Einstein. We construct an example of a totally umbilical radical transversal lightlike hypersurface, which is locally symmetric, semi-symmetric, Ricci semi-symmetric and almost Einstein.