On the construction of the linearization of a nonlinear connection

2019/11/13 by Eduardo Martı́nez, Martínez, Eduardo
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Microtubule and mitosis dynamics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1911.05773

openalex publication_date 2019/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The construction of a linear connection on a pullback bundle from a connection on a vector bundle is explained in terms of fiberwise linear approximation. This procedure clarifies the geometric meaning of the linearized connection as well as the associated parallel transport and curvature.

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