Lie Algebras of vector fields on convenient manifolds
Differential Geometry
2026-04-21 v2
Abstract
We discuss various old and new definitions of the notion of a vector field on a convenient manifold that can be proved to give rise to Lie algebras, and are in finite dimensions equivalent to the standard notion of a vector field.
Cite
@article{arxiv.2511.05690,
title = {Lie Algebras of vector fields on convenient manifolds},
author = {Arnold Neumaier and Phillip Josef Bachler},
journal= {arXiv preprint arXiv:2511.05690},
year = {2026}
}
Comments
Withdrawn by the authors as the current version is an incomplete exposition and requires further development