Isotropic subbundles of TM ⊕ T*M

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We define integrable, big-isotropic structures on a manifold M as subbundles E ⊆ TM ⊕ T*M that are isotropic with respect to the natural, neutral metric (pairing) g of TM ⊕ T*M and are closed by Courant brackets (this also implies that [E, Eg] ⊆Eg). We give the interpretation of such a structure by objects of M, we discuss the local geometry of the structure and we give a reduction theorem.

Original languageEnglish
Pages (from-to)487-516
Number of pages30
JournalInternational Journal of Geometric Methods in Modern Physics
Issue number3
StatePublished - May 2007


  • Big-isotropic structures
  • Courant bracket
  • Integrability
  • Reduction

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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