Tube formulas for valuations in complex space forms

Author

Solanes, G.

Trillo, J. A.

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

Subject

Mathematics; Tube formulas; Riemannian manifolds

Pages

33 p.

Publisher

Springer Heidelberg

Version of

Mathematische Annalen

Documents

TubeFormulas.pdf

491.7Kb

 

Rights

L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/

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CRM Articles [656]