Axiomatic Differential Geometry II-1 Vector Fields

Details Axiomatic Differential Geometry II-1 Vector Fields Axiomatic Differential Geometry II-1 Vector Fields

2012-04-23

arxiv.org/abs/1204.5230v1

Mathematics

Differential Geometry

Scientific paper

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.

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