Courant algebroid and Lie bialgebroid contractions
Differential Geometry
2008-11-26 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0402020,
title = {Courant algebroid and Lie bialgebroid contractions},
author = {Jose F. Carinena and Janusz Grabowski and Giuseppe Marmo},
journal= {arXiv preprint arXiv:math/0402020},
year = {2008}
}
Comments
13 pages, to appear in J. Phys. A. A name of a font (which was wrongly interpreted by LaTeX in arXiv) has been changed