@misc{oai:tsukuba.repo.nii.ac.jp:00027100, author = {西村, 泰一 and NISHIMURA, Hirokazu}, month = {Nov}, note = {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.}, title = {Axiomatic Differential Geometry Ⅱ-1 Vector Fields}, year = {2012}, yomi = {ニシムラ, ヒロカズ} }