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Conformal Killing vectors

 
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Apr23-09, 10:26 PM   #1
 
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Conformal Killing vectors

can someone show me how to derive

E_a;b + E_b;a = g_ab E^c; _c

I understand the equation

E_a;b + E_b;a = 0

but when g_ab dx^a dx^b =0

why can you have E_a;b + E_b;a = g_ab E^c;_c ?
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