# Changes

## Torsion is tensorial

, 17:53, 6 January 2012
Statement
Then, $\tau(\nabla)$ is a [[fact about::tensorial map]] in both coordinates. In other words, the value of $\tau(\nabla)$ at a point $p \in M$ depends only on $\nabla, X(p), Y(p)$ and does not depend on the values of the vectors fields $X,Y$ at points other than $p$.

==Related facts==

* [[Curvature is tensorial]]
* [[Torsion is antisymmetric]]
* [[Curvature is antisymmetric in first two variables]]
==Facts used==
184
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