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.
Last Updated: Fri Jul 10 09:34:05 2020