English

Note on generalised connections and affine bundles

Differential Geometry 2008-02-04 v1 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math/0207189,
  title  = {Note on generalised connections and affine bundles},
  author = {T. Mestdag and W. Sarlet and E. Martinez},
  journal= {arXiv preprint arXiv:math/0207189},
  year   = {2008}
}

Comments

17 pages

R2 v1 2026-07-22T16:46:44.626Z