  We study some geometric properties of Killing horizons in 4-dimensional
stationary and axisymmetric space-times with electromagnetic field and
cosmological constant. Using a $(1+1+2)$ space-time split, we construct
relations between the space-time Riemann tensor components and components of
the Riemann tensor corresponding to the horizon surface. The Einstein equations
allow to derive the space-time scalar curvature invariants, Kretschmann,
Chern-Pontryagin, and Euler, on the 2-dimensional spacelike horizon surface.
The derived relations generalize the relations known for Killing horizons of
static and axisymmetric 4-dimensional space-times. We also present the
generalization of Hartle's curvature formula.
