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Courant algebroid and Lie bialgebroid contractions

Jose F. Carinena·Janusz Grabowski·Giuseppe Marmo
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Abstract

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, Poisson-Nijenhuis structures, and triangular Lie bialgebroids as particular examples.

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Jose F. Carinena, Janusz Grabowski, Giuseppe Marmo. 2004-04-15. Courant algebroid and Lie bialgebroid contractions. https://doi.org/10.1088/0305-4470/37/19/006

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