Tube formulas for valuations in complex space forms
Differential Geometry
2023-04-14 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.2304.06589,
title = {Tube formulas for valuations in complex space forms},
author = {Gil Solanes and Juan Andrés Trillo},
journal= {arXiv preprint arXiv:2304.06589},
year = {2023}
}