Metric On Quantum Spaes
Andrzej Sitarz
Abstract
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.
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