Hi, I'm reading this wikipedia article on the metric connection, and it says that the Levi-Civita connection is a metric connection without torsion. If the metric connection is defined so that the covariant derivative of the metric is 0, how can there be torsion? Doesn't this condition force the connection to be the Christoffel symbols and therefore there is no torsion?(adsbygoogle = window.adsbygoogle || []).push({});

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# How can a metric connection have torsion?

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