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arXiv · 2304.06589

Tube formulas for valuations in complex space forms

Gil Solanes·Juan Andrés Trillo
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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.

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Gil Solanes, Juan Andrés Trillo. 2023-04-13. Tube formulas for valuations in complex space forms. https://arxiv.org/abs/2304.06589

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