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Pseudo-Riemannian Metrics in Models Based on Noncommutative Geometry

Aristophanes Dimakis·Folkert Muller-Hoissen
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Abstract

Several examples and models based on noncommutative differential calculi on commutative algebras indicate that a metric should be regarded as an element of the left-linear tensor product of the space of 1-forms with itself. We show how the metric compatibility condition with a linear connection generalizes to this framework.

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BibTeXRIS

Aristophanes Dimakis, Folkert Muller-Hoissen. 1999-08-06. Pseudo-Riemannian Metrics in Models Based on Noncommutative Geometry. https://doi.org/10.1023/a%3A1022864712977

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