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Axiomatic Differential Geometry II-4

2012/11/22 by Hirokazu Nishimura, Nishimura, Hirokazu
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG

paper · pdf · doi:10.48550/arxiv.1211.5271

arxiv created 2012/11/22 · openalex publication_date 2012/11/22 · arxiv updated 2012/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In our previous paper (Axiomatic Differential Geometry II-3) we have discussed the general Jacobi identity, from which the Jacobi identity of vector fields follows readily. In this paper we derive Jacobi-like identities of tangent-vector-valued forms from the general Jacobi identity.

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