Géométrie de l'espace tangent sur l'hyperboloïde quantique

Details Géométrie de l'espace tangent sur l'hyperboloïde quantique Géométrie de l'espace tangent sur l'hyperboloïde quantique

2000-05-13

arxiv.org/abs/math/0005135v1

Mathematics

Quantum Algebra

30 pages, Latex. To appear in Cahiers de topologie et g\'eom\'etrie diff\'erentielle cat\'egorique

Scientific paper

We introduce the tangent space on a quantum hyperboloid. We define an action
of this tangent space on the corresponding "quantum function space" ${\cal A}$,
what converts the elements of the tangent space into "braided vector fields".
The tangent space is shown to be a projective ${\cal A}$-module and we define a
quantum (pseudo)metric and a quantum connection (partially defined) on it.

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