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Conformal Killing vectors

by Jim Kata
Tags: conformal, killing, vectors
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Jim Kata
#1
Apr23-09, 10:26 PM
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P: 233
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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