Cohomologie L p en degré 1 des espaces homogènes
Identifieur interne : 002064 ( Istex/Corpus ); précédent : 002063; suivant : 002065Cohomologie L p en degré 1 des espaces homogènes
Auteurs : Pierre PansuSource :
- Potential Analysis [ 0926-2601 ] ; 2007-09-01.
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Abstract
Abstract: The L p -cohomology in degree 1 of Riemannian homogeneous spaces is computed. It turns out that reduced cohomology does not vanish exactly for spaces quasiisometric to negatively curved homogeneous spaces.
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DOI: 10.1007/s11118-007-9049-1
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ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>The <Emphasis Type="Italic">L</Emphasis><Superscript><Emphasis Type="Italic">p</Emphasis></Superscript>-cohomology in degree 1 of Riemannian homogeneous spaces is computed. It turns out that reduced cohomology does not vanish exactly for spaces quasiisometric to negatively curved homogeneous spaces.</Para></Abstract><KeywordGroup Language="En"><Heading>Keywords</Heading><Keyword><Emphasis Type="Italic">L</Emphasis><Superscript><Emphasis Type="Italic">p</Emphasis></Superscript>-cohomology</Keyword><Keyword>Negative curvature</Keyword><Keyword>Homogeneous space</Keyword><Keyword>Besov space</Keyword></KeywordGroup><KeywordGroup Language="--"><Heading>Mathematics Subject Classifications (2000)</Heading><Keyword>43A15</Keyword><Keyword>43A80</Keyword><Keyword>46E35</Keyword><Keyword>53C20</Keyword><Keyword>53C30</Keyword><Keyword>58A14</Keyword></KeywordGroup></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Cohomologie L p en degré 1 des espaces homogènes</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Cohomologie L p en degré 1 des espaces homogènes</title></titleInfo><name type="personal" displayLabel="corresp"><namePart type="given">Pierre</namePart><namePart type="family">Pansu</namePart><affiliation>Univ Paris-Sud, Laboratoire de Mathématiques d’Orsay, F-91405, Orsay Cedex, France</affiliation><affiliation>CNRS, F-91405, Orsay Cedex, France</affiliation><affiliation>E-mail: Pierre.Pansu@math.u-psud.fr</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Kluwer Academic Publishers</publisher><place><placeTerm type="text">Dordrecht</placeTerm></place><dateCreated encoding="w3cdtf">2006-07-10</dateCreated><dateIssued encoding="w3cdtf">2007-09-01</dateIssued><dateIssued encoding="w3cdtf">2007</dateIssued><copyrightDate encoding="w3cdtf">2007</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: The L p -cohomology in degree 1 of Riemannian homogeneous spaces is computed. 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