Note on generalised connections and affine bundles
classification
🧮 math.DG
math-phmath.MP
keywords
bundleaffineconceptconnectionsgeneralisedaffinenessalternativebundles
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We develop an alternative view on the concept of connections over a vector bundle map, which consists of a horizontal lift procedure to a prolonged bundle. We further focus on prolongations to an affine bundle and introduce the concept of affineness of a generalised connection.
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