Note on generalised connections and affine bundles

Details Note on generalised connections and affine bundles Note on generalised connections and affine bundles

2002-07-22

arxiv.org/abs/math/0207189v1

J. Phys. A: Math. Gen. 35 (2002), 9843--9856

Mathematics

Differential Geometry

17 pages

Scientific paper

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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