By taking into account the work of J. Rataj and M. Zähle [Geom. Dedicata 57, 259-283 (1995; Zbl 0844.53050)], R. Schneider and W. Weil [Math. Nachr. 129, 67-80 (1986; Zbl 0602.52003)], W. Weil [Math. Z. 205, 531-549 (1990; Zbl 0705.52006)], an integral formula is obtained here by using the technique of rectifiable currents.This is an iterated version of the principal kinematic formula for sets of positive reach and generalized curvature measures.
@article{701602, title = {The iterated version of a translative integral formula for sets of positive reach}, booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {1997}, pages = {[129]-138}, mrnumber = {MR1469029}, zbl = {0902.53049}, url = {http://dml.mathdoc.fr/item/701602} }
Rataj, Jan. The iterated version of a translative integral formula for sets of positive reach, dans Proceedings of the 16th Winter School "Geometry and Physics", GDML_Books, (1997), pp. [129]-138. http://gdmltest.u-ga.fr/item/701602/