Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

Lipschitz-Killing curvatures and polar images

Abstract : We relate the Lipschitz-Killing measures of a definable set $X \subset \mathbb{R}^n$ in an o-minimal structure to the volumes of generic polar images. For smooth submanifolds of $\mathbb{R}^n$, such results were established by Langevin and Shifrin. Then we give infinitesimal versions of these results. As a corollary, we obtain a relation between the polar invariants of Comte and Merle and the densities of generic polar images.
Complete list of metadata

Cited literature [32 references]  Display  Hide  Download
Contributor : Nicolas Dutertre Connect in order to contact the contributor
Submitted on : Tuesday, December 8, 2015 - 2:31:13 PM
Last modification on : Wednesday, November 3, 2021 - 6:45:14 AM
Long-term archiving on: : Wednesday, March 9, 2016 - 2:54:51 PM


Files produced by the author(s)



Nicolas Dutertre. Lipschitz-Killing curvatures and polar images. Advances in Geometry, De Gruyter, 2019, 19 (2), pp.205-230. ⟨10.1515/advgeom-2018-0019⟩. ⟨hal-01239927⟩



Record views


Files downloads