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Curvature is tensorial

7 bytes added, 00:15, 20 December 2011
Tensoriality in the first variable
| 5 || <math>f(\nabla_X\nabla_Y - \nabla_Y\nabla_X) - \nabla_{f[X,Y]}</math> || Fact (3) || <math>[fX,Y] + (Yf)X \to f[X,Y]</math>
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| 6 || <math>f(\nabla_X\nabla_Y - \nabla_Y\nabla_X - \nabla_{[X,Y]}) </math> || Fact (1) || <math>\nabla_{f[X,Y]} \to f\nabla_{[X,Y]}</math>
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