<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01831632</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-03T03:09:56+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">The group of diffeomorphisms of a non-compact manifold is not regular</title>
            <author role="aut">
              <persName>
                <forename type="first">Jean-Pierre</forename>
                <surname>Magnot</surname>
              </persName>
              <email type="md5">73305a3053b26dc8b37b01d5d21603b3</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">jean-pierre-magnot</idno>
              <idno type="idhal" notation="numeric">15887</idno>
              <idno type="halauthorid" notation="string">37566-15887</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-3959-3443</idno>
              <idno type="IDREF">https://www.idref.fr/070004099</idno>
              <affiliation ref="#struct-396"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>jean-pierre</forename>
                <surname>magnot</surname>
              </persName>
              <email type="md5">73305a3053b26dc8b37b01d5d21603b3</email>
              <email type="domain">gmail.com</email>
            </editor>
            <funder ref="#projanr-38048"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2018-07-06 09:51:50</date>
              <date type="whenModified">2025-02-17 13:53:56</date>
              <date type="whenReleased">2018-07-17 15:16:21</date>
              <date type="whenProduced">2018-01-25</date>
              <date type="whenEndEmbargoed">2018-07-06</date>
              <ref type="file" target="https://hal.science/hal-01831632v1/document">
                <date notBefore="2018-07-06"/>
              </ref>
              <ref type="file" subtype="greenPublisher" n="1" target="https://hal.science/hal-01831632v1/file/%5BDemonstratio%20Mathematica%5D%20The%20group%20of%20diffeomorphisms%20of%20a%20non-compact%20manifold%20is%20not%20regular.pdf" id="file-1831632-1866285">
                <date notBefore="2018-07-06"/>
              </ref>
              <ref type="externalLink" target="http://www.degruyter.com/downloadpdf/j/dema.2018.51.issue-1/dema-2018-0001/dema-2018-0001.xml"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="563626">
                <persName>
                  <forename>jean-pierre</forename>
                  <surname>magnot</surname>
                </persName>
                <email type="md5">73305a3053b26dc8b37b01d5d21603b3</email>
                <email type="domain">gmail.com</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01831632</idno>
            <idno type="halUri">https://hal.science/hal-01831632</idno>
            <idno type="halBibtex">magnot:hal-01831632</idno>
            <idno type="halRefHtml">&lt;i&gt;Demonstratio Mathematica&lt;/i&gt;, 2018, 51 (1), pp.8 - 16. &lt;a target="_blank" href="https://dx.doi.org/10.1515/dema-2018-0001"&gt;&amp;#x27E8;10.1515/dema-2018-0001&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Demonstratio Mathematica, 2018, 51 (1), pp.8 - 16. &amp;#x27E8;10.1515/dema-2018-0001&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1831632-1866285"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="SHS">Sciences de l'Homme et de la Société</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-ANGERS">Université d'Angers</idno>
            <idno type="stamp" n="LAREMA" corresp="UNIV-ANGERS">Laboratoire Angevin de Recherche en Mathématiques</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="CHL">Centre Henri Lebesgue</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="ANR">ANR</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">The group of diffeomorphisms of a non-compact manifold is not regular</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean-Pierre</forename>
                    <surname>Magnot</surname>
                  </persName>
                  <email type="md5">73305a3053b26dc8b37b01d5d21603b3</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">jean-pierre-magnot</idno>
                  <idno type="idhal" notation="numeric">15887</idno>
                  <idno type="halauthorid" notation="string">37566-15887</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-3959-3443</idno>
                  <idno type="IDREF">https://www.idref.fr/070004099</idno>
                  <affiliation ref="#struct-396"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">85909</idno>
                <idno type="issn">0420-1213</idno>
                <idno type="eissn">2391-4661</idno>
                <title level="j">Demonstratio Mathematica</title>
                <imprint>
                  <publisher>De Gruyter</publisher>
                  <biblScope unit="volume">51</biblScope>
                  <biblScope unit="issue">1</biblScope>
                  <biblScope unit="pp">8 - 16</biblScope>
                  <date type="datePub">2018-01-25</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1515/dema-2018-0001</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">exponential map </term>
                <term xml:lang="en">infinite dimensional Lie groups</term>
                <term xml:lang="en">diffeomorphisms</term>
                <term xml:lang="en">diffeology</term>
              </keywords>
              <classCode scheme="halDomain" n="math.math-dg">Mathematics [math]/Differential Geometry [math.DG]</classCode>
              <classCode scheme="halDomain" n="math.math-gm">Mathematics [math]/General Mathematics [math.GM]</classCode>
              <classCode scheme="halDomain" n="math.math-mg">Mathematics [math]/Metric Geometry [math.MG]</classCode>
              <classCode scheme="halDomain" n="nlin.nlin-si">Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI]</classCode>
              <classCode scheme="halDomain" n="nlin.nlin-cd">Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]</classCode>
              <classCode scheme="halDomain" n="nlin.nlin-ps">Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]</classCode>
              <classCode scheme="halDomain" n="phys.mphy">Physics [physics]/Mathematical Physics [math-ph]</classCode>
              <classCode scheme="halDomain" n="phys.qphy">Physics [physics]/Quantum Physics [quant-ph]</classCode>
              <classCode scheme="halDomain" n="shs.info">Humanities and Social Sciences/Library and information sciences</classCode>
              <classCode scheme="halDomain" n="shs.gestion">Humanities and Social Sciences/Business administration</classCode>
              <classCode scheme="halDomain" n="math.math-mp">Mathematics [math]/Mathematical Physics [math-ph]</classCode>
              <classCode scheme="halDomain" n="math.math-oa">Mathematics [math]/Operator Algebras [math.OA]</classCode>
              <classCode scheme="halDomain" n="math.math-sp">Mathematics [math]/Spectral Theory [math.SP]</classCode>
              <classCode scheme="halDomain" n="math.math-ap">Mathematics [math]/Analysis of PDEs [math.AP]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We show that a group of diffeomorphisms D on the open unit interval I, equipped with the topology of uniform convergence on any compact set of the derivatives at any order, is non-regular: the exponential map is not defined for some path of the Lie algebra. This result extends to the group of diffeomorphisms of finite dimensional, non-compact manifold M.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-396" status="VALID">
          <idno type="IdRef">090959531</idno>
          <idno type="ISNI">0000000100733771</idno>
          <idno type="RNSR">200012173L</idno>
          <idno type="ROR">https://ror.org/036j0y719</idno>
          <idno type="Wikidata">Q51780518</idno>
          <orgName>Laboratoire Angevin de Recherche en Mathématiques</orgName>
          <orgName type="acronym">LAREMA</orgName>
          <date type="start">2000-01-01</date>
          <desc>
            <address>
              <addrLine>Université d'Angers, LAREMA - Faculté des Sciences, 2 Boulevard Lavoisier - 49045 Angers CEDEX 01</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://math.univ-angers.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UMR6093" active="#struct-74911" type="direct"/>
            <relation name="UMR6093" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-74911" status="VALID">
          <idno type="IdRef">026402920</idno>
          <idno type="ISNI">0000000122483363</idno>
          <idno type="ROR">https://ror.org/04yrqp957</idno>
          <orgName>Université d'Angers</orgName>
          <orgName type="acronym">UA</orgName>
          <date type="start">1971-10-25</date>
          <desc>
            <address>
              <addrLine>Université d'Angers - 40 Rue de Rennes, BP 73532 - 49035 Angers CEDEX 01</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-angers.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-38048" status="VALID">
          <idno type="anr">ANR-11-LABX-0020</idno>
          <idno type="program">Laboratoires d'excellence</idno>
          <orgName>LEBESGUE</orgName>
          <desc>Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation</desc>
          <date type="start">2011</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>