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  • Title
    Analysis on Riemannian foliations of bounded geometry
  • Author
    Alvarez López, Jesús A. ; Kordyukov, Yuri A. ; Leichtnam, Éric
  • Honoured person
    Deninger, Christopher
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 221-265
  • Published
    2020
  • Annotation
    The authors were partially supported by FEDER/Ministerio de Ciencia, Innovaci´on y Universidades/AEI/MTM2017-89686-P and MTM2014-56950-P, and Xunta de Galicia/2015 GPC GI-1574 and ED431C 2019/10. The second author is partially supported by the RFBR grant 16-01-00312.
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-90169675858 
  • DOI
    10.17879/90169672719 
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  •  The document is publicly available on the WWW
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Abstract
  • A leafwise Hodge decomposition was proved by Sanguiao for Riemannian foliations of bounded geometry. Its proof is explained again in terms of our study of bounded geometry for Riemannian foliations. It is used to associate smoothing operators to foliated flows, and describe their Schwartz kernels. All of this is extended to a leafwise version of the Novikov differential complex.
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