Retrieving "Levi Civita Symbols" from the archives
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Affine Connection
Linked via "Levi-Civita symbols"
| General Affine Connection | Non-Zero | Non-Zero | Metric-Affine Geometry |
The relationship between the Christoffel symbols{:data-entity="Christoffel symbols"} of a general connection{:data-entity="connection"} $\Gamma$ and the Levi-Civita symbols{:data-entity="Levi-Civita symbols"} $\mathring{\Gamma}$ is defined by the required torsion{:data-entity="torsion"} and non-metricity components. For instance, the [torsion component](/entries/torsion-t…