English

Horizontal Path Lifting for General Connections

Differential Geometry 2013-11-01 v2

Abstract

We characterize the existence of horizontal path lifts for general connections on arbitrary fiber bundles with a new property that also gives fresh insight into linear and GG-connections.

Keywords

Cite

@article{arxiv.1105.4554,
  title  = {Horizontal Path Lifting for General Connections},
  author = {Phillip E. Parker and Justin M. Ryan},
  journal= {arXiv preprint arXiv:1105.4554},
  year   = {2013}
}

Comments

6 pp. + t.p. v2: add coauthor, extend results, new proofs

R2 v1 2026-06-21T18:11:16.544Z