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  • Titel
    Analysis on Riemannian foliations of bounded geometry
  • Verfasser
    Alvarez López, Jesús A. ; Kordyukov, Yuri A. ; Leichtnam, Éric
  • Gefeierte Person
    Deninger, Christopher
  • Enthalten in
    Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 221-265
  • Erschienen
    2020
  • Anmerkung
    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.
  • Sprache
    Englisch
  • Dokumenttyp
    Aufsatz in einer Zeitschrift
  • URN
    urn:nbn:de:hbz:6-90169675858 
  • DOI
    10.17879/90169672719 
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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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