2021-07-30T23:04:27Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000271002021-03-02T07:20:43ZAxiomatic Differential Geometry Ⅱ-1 Vector FieldsNishimura, HirokazuIn 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.other2012-11-02application/pdf115http://hdl.handle.net/2241/116901https://tsukuba.repo.nii.ac.jp/record/27100/files/1204.5230v3.pdfenghttp://arxiv.org/abs/1204.5230