Courant algebroid and Lie bialgebroid contractions

نویسندگان

  • José F. Cariñena
  • Giuseppe Marmo
چکیده

Contractions of Leibniz algebras and Courant algebroids by means of (1,1)-tensors are introduced and studied. An appropriate version of Nijenhuis tensors leads to natural deformations of Dirac structures and Lie bialgebroids. One recovers presymplectic-Nijenhuis structures, PoissonNijenhuis structures, and triangular Lie bialgebroids as particular examples. MSC 2000: Primary 17B99; Secondary 17B62, 53C15, 53D17.

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تاریخ انتشار 2008