Abstract
The basic data of Riemannian geometry consists of a manifold M whose points are locally labeled by a finite number of real coordinates x μ and a metric, which is given by the infinitesimal line element:
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Connes, A. (1997). Noncommutative Differential Geometry and the Structure of Space Time. In: ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) Quantum Fields and Quantum Space Time. NATO ASI Series, vol 364. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1801-7_3
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