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Vidéo Année : 2017

R. Ghezzi - Volume measures in non equiregular sub-Riemannian manifolds

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Fanny Bastien

Résumé

In this talk we study the Hausdorff volume in a non equiregular sub-Riemannian manifold and we compare it to a smooth volume. First we give the Lebesgue decomposition of the Hausdorff volume. Then we focus on the regular part, show that it is not commensurable with a smooth volume and give conditions under which it is a Radon measure. Finally we give a complete characterization of the singular part. This is a joint work with F. Jean (ENSTA).

Dates et versions

medihal-01721717 , version 1 (02-03-2018)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : medihal-01721717 , version 1

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Roberta Ghezzi, Fanny Bastien. R. Ghezzi - Volume measures in non equiregular sub-Riemannian manifolds: Sub-riemannian days 2017 . 2017. ⟨medihal-01721717⟩
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