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I'm looking for a simple definition fo the affine connection because I can't understand it's meanning , that meanning that givse the mathematical formula of the affine connection a life , You could call it the physiacl meanning .

For your knowledge my friend , I'm very good with the calculations of the affine connection and I can calculate it for any metric using the formula :

[tex]

\[

\Gamma _{\alpha \beta }^\mu = \frac{1}{2}g^{\mu \lambda } \left( {\partial _\beta g_{\alpha \lambda } + \partial _\alpha g_{\beta \lambda } - \partial _\lambda g_{\alpha \beta } } \right)

\]

[/tex]

But the big problem is in it's meanning , so please help me with understanding it .

thanks

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# Affine Connection

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