Axiomatic Differential Geometry II-1 Vector Fields
Differential Geometry
2012-11-02 v3
Abstract
In our previous paper entitled "Axiomatic differential geometry -towards model categories of differential geometry-, we have given a category-theoretic framework of differential geometry. As the first part of our series of papers concerned with differential-geometric developments within the above axiomatic scheme, this paper is devoted to vector fields. The principal result is that the totality of vector fields on a microlinear and Weil exponential object forms a Lie algebra.
Cite
@article{arxiv.1204.5230,
title = {Axiomatic Differential Geometry II-1 Vector Fields},
author = {Hirokazu Nishimura},
journal= {arXiv preprint arXiv:1204.5230},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1002.3978