Crofton type formulas for complex
geodesic planes:
In this talk, we
will express the measure of complex r-planes meeting a convex body in a
complex space form in terms of the Hermitian curvature measures basis
of smooth invariant valuations given by Bernig-Fu. In the second part
we will characterize the reproductive invariant valuations of degree
2n-2 on complex Hermitian space.