Title: Energy-preserving affine connections (11 pages)
Author(s): Andrew D. Lewis
Detail: Miscellaneous

Original manuscript: 1997/07/28

A Riemannian affine connection on a Riemannian manifold has the property that is preserves the ``kinetic energy'' associated with the metric. However, there are other affine connections which have this property, and here we characterise them. A class of such energy-preserving affine connections, related to mechanical systems with constraints, is provided.

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Last Updated: Wed Jun 14 07:39:44 2017


Andrew D. Lewis (andrew at mast.queensu.ca)