Given an isometry invariant valuation on a complex space form we compute its value on the tubes of sufficiently small radii around a set of positive reach. This generalizes classical formulas of Weyl, Gray and others about the volume of tubes. We also develop a general framework on tube formulas for valuations in Riemannian manifolds.
English
Mathematics; Tube formulas; Riemannian manifolds
33 p.
Springer Heidelberg
Mathematische Annalen
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