2012/04/23 by Hirokazu Nishimura, Nishimura, Hirokazu
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.DG
paper · pdf · doi:10.48550/arxiv.1204.5230
arXiv admin note: text overlap with arXiv:1002.3978
openalex publication_date 2012/04/23 · arxiv created 2012/10/31 · arxiv updated 2012/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.