Integrability on Direct Limit Banach manifolds
Differential Geometry
2017-08-01 v3
Abstract
This paper is devoted to the framework of direct limit of anchored Banach bundles over a convenient manifold which is a direct limit of Banach manifold. In particular we give a criterion of integrability for distributions on such convenient manifolds which are locally direct limits of particular sequences of Banach anchor ranges.
Cite
@article{arxiv.1408.3715,
title = {Integrability on Direct Limit Banach manifolds},
author = {Patrick Cabau and Fernand Pelletier},
journal= {arXiv preprint arXiv:1408.3715},
year = {2017}
}