Nilpotent classical mechanics: s-geometry
arXiv:math-ph/0609029 · doi:10.1007/s10582-006-0417-7
Abstract
We introduce specific type of hyperbolic spaces. It is not a general linear covariant object, but of use in constructing nilpotent systems. In the present work necessary definitions and relevant properties of configuration and phase spaces are indicated. As a working example we use a D=2 isotropic harmonic oscillator.
8 pages, presented at QGIS, June 2006, Prague