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arXiv · 1911.05773

On the construction of the linearization of a nonlinear connection

Eduardo Martínez
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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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Eduardo Martínez. 2019-11-13. On the construction of the linearization of a nonlinear connection. https://arxiv.org/abs/1911.05773

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