Lie and Courant algebroids on foliated manifolds

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This is an exposition of the subject, which was developed in the author's papers [19, 20]. Various results from the theory of foliations (cohomology, characteristic classes, deformations, etc.) are extended to subalgebroids of Lie algebroids that generalize the tangent integrable distributions. We also suggest a definition of foliated Courant algebroids and give some corresponding results and constructions.

Original languageEnglish
Pages (from-to)805-830
Number of pages26
JournalBulletin of the Brazilian Mathematical Society
Issue number4
StatePublished - Dec 2011


  • Courant Algebroid
  • Foliation
  • Lie Algebroid

ASJC Scopus subject areas

  • General Mathematics


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