The Berwald-type linearisation of generalised connections

Details The Berwald-type linearisation of generalised connections The Berwald-type linearisation of generalised connections

2003-04-16

arxiv.org/abs/math/0304221v1

J. Phys. A: Math. Gen. 36 (2003), 8049--8069

Mathematics

Differential Geometry

25 pages

Scientific paper

10.1088/0305-4470/36/29/310

We study the existence of a natural `linearisation' process for generalised connections on an affine bundle. It is shown that this leads to an affine generalised connection over a prolonged bundle, which is the analogue of what is called a connection of Berwald type in the standard theory of connections. Various new insights are being obtained in the fine structure of affine bundles over an anchored vector bundle and affineness of generalised connections on such bundles.

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