Generalized Symplectic Manifolds

Details Generalized Symplectic Manifolds Generalized Symplectic Manifolds

1997-10-24

arxiv.org/abs/dg-ga/9710027v1

Mathematics

Differential Geometry

LaTeX, 26 pages

Scientific paper

This paper uses a generalization of symplectic geometry, known as $n$-symplectic geometry and developed by Norris, to find observables on three-dimensional manifolds. It will be seen that for the cases considered, the $n$-symplectic observables are derivable from the symplectic observables of $C^2$. The quantization of these observables, as well as those on the frame bundle of $R^n$, is also examined.

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