Linearization of nonlinear connections on vector and affine bundles, and some applications
classification
🧮 math.DG
math-phmath.MP
keywords
bundleconnectionvectoraffineapplicationslinearizationnonlinearprocedure
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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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