Nijenhuis forms on Lie-infinity algebras associated to Lie algebroids
Differential Geometry
2016-04-28 v1
Abstract
Introducing Nijenhuis forms on Lie-infinity algebras gives a general frame to understand deformations of the latter. We give here a Nijenhuis interpretation of a deformation of an arbitrary Lie algebroid into a Lie-infinity algebra. Then we show that Nijenhuis forms on Lie-infinity algebras also give a short and efficient manner to understand Poisson-Nijenhuis structures and, more generally, the so-called exact Poisson quasi-Nijenhuis structures with background.
Keywords
Cite
@article{arxiv.1604.08084,
title = {Nijenhuis forms on Lie-infinity algebras associated to Lie algebroids},
author = {M. Jawad Azimi and C. Laurent-Gengoux and J. M. Nunes da Costa},
journal= {arXiv preprint arXiv:1604.08084},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1308.6119