Classical lifting processes and multiplicative vector fields
dg-ga
2007-05-23 v1 Differential Geometry
Abstract
We extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds to tangent and cotangent bundles. Using this calculus we give a new description of the Lie bialgebroid structure associated with a Poisson groupoid.
Cite
@article{arxiv.dg-ga/9710030,
title = {Classical lifting processes and multiplicative vector fields},
author = {Kirill Mackenzie and Ping Xu},
journal= {arXiv preprint arXiv:dg-ga/9710030},
year = {2007}
}
Comments
Latex, 27 pages, Quarterly J. Math. (Oxford), to appear