A construction of Courant algebroids on foliated manifolds

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Abstract

For any transversal-Courant algebroid E on a foliated manifold (M, ℱ), and for any choice of a decomposition TM = Tℱ ⊕ Q, we construct a Courant algebroid structure on Tℱ ⊕ T*ℱ ⊕ E.

Original languageEnglish
Pages (from-to)177-183
Number of pages7
JournalBulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume53
Issue number2
StatePublished - 2010

Keywords

  • Foliated courant algebroid
  • Transversal-Courant algebroid

ASJC Scopus subject areas

  • Mathematics (all)

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