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Differential Geometry of Microlinear Frolicher Spaces IV-2

2011/10/13 by Hirokazu Nishimura, Nishimura, Hirokazu
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1110.2924

openalex publication_date 2011/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is the sequel to our previous paper (Differetial Geometry of Microlinear Frolicher spaces IV-1), where three approaches to jet bundles are presented and compared. The first objective in this paper is to give the affine bundle theorem for the second and third approaches to jet bundles. The second objective is to deal with the three approaches to jet bundles in the context where coordinates are available. In this context all the three approaches are shown to be equivalent.

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