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I am trying to solve this problem:

Find the Killing vector correspond to the symmetry of the scale invariant for the AdS(n+1)

$$ (t,{\bf x}) \rightarrow (at, a{\bf x}) $$

when the metric of the AdS is given in Poincaré coordinate:

$$ ds^2=\frac{1}{|{\bf x}|^2}(-dt^2+d{\bf x}\cdot d{\bf x}) $$

I know that I have to solve the Killing equation but how can I find the connection coefficients?

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closed as off-topic by Danu, Kyle Kanos, John Rennie, ACuriousMind, Jim the Enchanter May 19 at 18:09

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By connection coefficients, I assume you mean $\Gamma^\rho_{\mu\nu}$? Do you not know its definition in terms of the metric? –  Danu May 19 at 11:46