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PRINCIPAL KINEMATIC FORMULAS FOR GERMS OF CLOSED DEFINABLE SETS

Abstract : We prove two principal kinematic formulas for germs of closed definable sets in R^n , that generalize the Cauchy-Crofton formula for the density due to Comte and the infinitesimal linear kinematic formula due to the author. In this setting, we do not integrate on the space of euclidian motions, but on the manifold SO(n) × S^{n−1}.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03089027
Contributor : Nicolas Dutertre Connect in order to contact the contributor
Submitted on : Sunday, December 27, 2020 - 6:20:40 PM
Last modification on : Wednesday, November 3, 2021 - 6:05:21 AM
Long-term archiving on: : Monday, March 29, 2021 - 6:38:34 PM

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  • HAL Id : hal-03089027, version 1
  • ARXIV : 2012.14783

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Nicolas Dutertre. PRINCIPAL KINEMATIC FORMULAS FOR GERMS OF CLOSED DEFINABLE SETS. 2020. ⟨hal-03089027⟩

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