Metric On Quantum Spaes

Andrzej Sitarz

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Metric On Quantum Spaes

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arxiv hep-th/9307150 v1 pith:IMGB2ZDX submitted 1993-07-25 hep-th

Metric On Quantum Spaes

Andrzej Sitarz This is my paper

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keywords metricanalogueanalyseapproachcalculuscaseconnesconsequences

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We introduce the analogue of the metric tensor in case of $q$-deformed differential calculus. We analyse the consequences of the existence of such metric, showing that this enforces severe restrictions on the parameters of the theory. We discuss in detail the examples of the Manin plane and the $q$-deformation of $SU(2)$. Finally we touch the topic of relations with the Connes' approach.

Metric On Quantum Spaes

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