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Kinematic formulas in integral geometry. (English) Zbl 0703.53059
A new proof of Federer’s kinematic formula for sets with positive reach is given, based on very general invariance principles and current- theoretic constructions. In fact the proof yields the existence of analogous formulas in two-point homogeneous spaces, and is adapted to prove kinematic formulas of different types.
Reviewer: Joseph H.G.Fu

MSC:
53C65 Integral geometry
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