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Torsion is tensorial

136 bytes added, 17:53, 6 January 2012
Statement
Then, <math>\tau(\nabla)</math> is a [[fact about::tensorial map]] in both coordinates. In other words, the value of <math>\tau(\nabla)</math> at a point <math>p \in M</math> depends only on <math>\nabla, X(p), Y(p)</math> and does not depend on the values of the vectors fields <math>X,Y</math> at points other than <math>p</math>.
 
==Related facts==
 
* [[Curvature is tensorial]]
* [[Torsion is antisymmetric]]
* [[Curvature is antisymmetric in first two variables]]
==Facts used==
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