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RESEARCH PRODUCT
R. Ghezzi - Volume measures in non equiregular sub-Riemannian manifolds
Roberta GhezziFanny Bastiensubject
volumesous-riemanniengrenoblemeasuressub-riemannian days 2017[MATH] Mathematics [math]journées sous-riemanniennes 2017non equiregularmanifoldssub-riemanniandescription
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).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |