Conférence
Notice
Langue :
Anglais
Crédits
Fanny Bastien (Réalisation), Séverine Rigot (Intervention)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/hfvm-eh51
Citer cette ressource :
Séverine Rigot. I_Fourier. (2017, 18 octobre). S.Rigot - Besicovitch covering property in sub-Riemannian geometry. [Vidéo]. Canal-U. https://doi.org/10.60527/hfvm-eh51. (Consultée le 15 juin 2024)

S.Rigot - Besicovitch covering property in sub-Riemannian geometry

Réalisation : 18 octobre 2017 - Mise en ligne : 12 avril 2018
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Descriptif

The Besicovitch covering property originates from works of Besicovitch about differentiation of measures in Euclidean spaces. It can more generally be used as a usefull tool to deduce global properties of a metric space from local ones. We will discuss in this talk the validity or non validity of the Besicovitch covering property on stratified groups equipped with sub Riemannian distances (Carnot groups) and more generally on graded groups equipped with homogeneous distances. We will illustrate these results with explicit examples in the Heisenberg group. We will also discuss some consequences related to the theory of differentiation of measures on sub-Riemannian manifolds. Based on joint works with E. Le Donne and S. Nicolussi Golo.

Intervention

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