Talk:Parallel transport

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[edit] Generality of this article?

There are various levels of generality at which one can discuss parallel transport:

  • for vector fields;
  • for sections of arbitrary vector bundles;
  • for sections of arbitrary geometric bundles (e.g. frame bundles and their associated bundles);
  • for sections of arbitrary fiber bundles (e.g. principal bundles and their associated bundles);

At what level should this article employ most of its energies? Geometry guy 16:08, 12 March 2007 (UTC)

[edit] Another question

In the earlier part of the 20th century, connections were defined in terms of parallel transport satisfying certain properties (see e.g. the Springer Encyclopedia articles on connections). Should we present this approach here? Geometry guy 22:21, 20 March 2007 (UTC)