Prolongations of convenient Lie algebroids
Differential Geometry
2020-07-22 v1
Abstract
We first define the concept of Lie algebroid in the convenient setting. In reference to the finite dimensional context, we adapt the notion of prolongation of a Lie algebroid over a fibred manifold to a convenient Lie algebroid over a fibred manifold. Then we show that this construction is stable under projective and direct limits under adequate assumptions.
Keywords
Cite
@article{arxiv.2007.10657,
title = {Prolongations of convenient Lie algebroids},
author = {Patrick Cabau and Fernand Pelletier},
journal= {arXiv preprint arXiv:2007.10657},
year = {2020}
}