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arXiv · 1711.06923

Linearization of nonlinear connections on vector and affine bundles, and some applications

Eduardo Martínez
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Abstract

A linear connection is associated to a nonlinear connection on a vector bundle by a linearization procedure. Our definition is intrinsic in terms of vector fields on the bundle. For a connection on an affine bundle our procedure can be applied after homogenization and restriction. Several applications in Classical Mechanics are provided.

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Eduardo Martínez. 2017-11-18. Linearization of nonlinear connections on vector and affine bundles, and some applications. https://doi.org/10.1088/1751-8121%2Faa9f71

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