English

Nilpotent classical mechanics: s-geometry

Mathematical Physics 2009-11-11 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0609029,
  title  = {Nilpotent classical mechanics: s-geometry},
  author = {Andrzej M. Frydryszak},
  journal= {arXiv preprint arXiv:math-ph/0609029},
  year   = {2009}
}

Comments

8 pages, presented at QGIS, June 2006, Prague