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[itex]ds^2=a^2 g_{ab}dx^a dx^b - du^2[/itex]

where:

[itex]a,b=0,1,2[/itex]

[itex]a(u)=[/itex]warped factor

Christoffel symbol of a three dimensional AdS spacetime:

[itex]\Gamma^{c}_{ab}= \frac{1}{2} g^{cd}(∂_b g_{da} + ∂_a g_{bd} - ∂_d g_{ba})[/itex]

Now how to find [itex]\Gamma^{a}_{b}[/itex]?