On measures in sub-Riemannian geometry

Abstract : In \cite{gjha} we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the assumption of equiregularity. The present paper is devised as a complement of this analysis, with both new results and open questions. The first aim is to extend the study to other kinds of intrinsic measures on sub-Riemannian manifolds, namely Popp's measure and general (i.e., non spherical) Hausdorff measures. The second is to explore some consequences of \cite{gjha} on metric measure spaces based on sub-Riemannian manifolds.
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Contributor : Frédéric Jean <>
Submitted on : Wednesday, February 15, 2017 - 3:03:49 PM
Last modification on : Wednesday, April 24, 2019 - 6:58:02 AM
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  • HAL Id : hal-01452778, version 2
  • ARXIV : 1702.00241

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R Ghezzi, Frédéric Jean. On measures in sub-Riemannian geometry. 2017. ⟨hal-01452778v2⟩

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