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25 April 2024
 
  » arxiv » gr-qc/9908022

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Pseudo-Riemannian Metrics in Models Based on Noncommutative Geometry
Aristophanes Dimakis ; Folkert Muller-Hoissen ;
Date 6 Aug 1999
Journal Czech.J.Phys. 50 (2000) 45-51
Subject General Relativity and Quantum Cosmology; Mathematical Physics | gr-qc hep-th math-ph math.MP
AbstractSeveral 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.
Source arXiv, gr-qc/9908022
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