Courant algebroid and Lie bialgebroid contractions

Details Courant algebroid and Lie bialgebroid contractions Courant algebroid and Lie bialgebroid contractions

2004-02-02

arxiv.org/abs/math/0402020v2

J.Phys.A37:5189-5202,2004

Mathematics

Differential Geometry

13 pages, to appear in J. Phys. A. A name of a font (which was wrongly interpreted by LaTeX in arXiv) has been changed

Scientific paper

10.1088/0305-4470/37/19/006

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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