Remarks on Geometric Mechanics

Marsden, J. E.

Duration and Change: Fifty years at Oberwolfach, Springer-Verlag, 254-274

Abstract:

This paper gives a few new developments in mechanics, as well as some remarks of a historical nature. To keep the discussion focused, most of the paper is confined to equations of "rigid body", or "hydrodynamic" type on Lie algebras or their duals. In particular, we will develop the variational structure of these equations and will relate it to the standard variational principle of Hamilton.