Banach Lie algebroids
Differential Geometry
2010-03-08 v1
Abstract
First, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.
Cite
@article{arxiv.1003.1263,
title = {Banach Lie algebroids},
author = {Mihai Anastasiei},
journal= {arXiv preprint arXiv:1003.1263},
year = {2010}
}
Comments
8 pages, no figures