@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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              We give a complete classification of left-invariant sub-Riemannian structures on three dimensional Lie groups in terms of the basic differential invariants. As a corollary we explicitly find a sub-Riemannian isometry between the nonisomorphic Lie groups SL(2) and $A^+(\\R)\\times S^1$, where $A^+(\\R)$ denotes the group of orientation preserving affine maps on the real line.
            """ ;
    dct:identifier "hal-00672261" ;
    dct:issued "2026-05-27T20:33:10.823144"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-27T20:33:10.823149"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Sub-Riemannian structures on 3D Lie groups" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "infoeu-reposemanticspreprint",
        "mathmath-dgmathematics-mathdifferential-geometry-mathdg",
        "mathmath-mgmathematics-mathmetric-geometry-mathmg",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00672261> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00672261v1/resource/c2fe338a-4fa6-4b06-9e8c-fdb4b3fd1bb4> a dcat:Distribution ;
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    dct:issued "2026-05-27T20:33:10.832789"^^xsd:dateTime ;
    dct:modified "2026-05-27T20:33:10.807471"^^xsd:dateTime ;
    dct:title "Sub-Riemannian structures on 3D Lie groups" ;
    dcat:accessURL <https://hal.science/hal-00672261> .

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