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Nilpotent classical mechanics: s-geometry

Andrzej M. Frydryszak

math-pharXiv:math-ph/0609029

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.

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