Courant algebroid and Lie bialgebroid contractions
arXiv:math/0402020 · doi:10.1088/0305-4470/37/19/006
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.
13 pages, to appear in J. Phys. A. A name of a font (which was wrongly interpreted by LaTeX in arXiv) has been changed