Tube formulas for valuations in complex space forms

Publication date

2024-07-16



Abstract

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.

Document Type

Article


Published version

Language

English

Pages

33 p.

Publisher

Springer Heidelberg

Published in

Mathematische Annalen

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CRM Articles [713]