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/