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Géométrie de l'espace tangent sur l'hyperboloïde quantique

P. Akueson
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Abstract

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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BibTeXRIS

P. Akueson. 2000-05-13. Géométrie de l'espace tangent sur l'hyperboloïde quantique. https://arxiv.org/abs/math/0005135

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