# Killing Vectors of a 2-Sphere

1. Nov 11, 2012

### Airsteve0

1. The problem statement, all variables and given/known data
Find all killing vectors of the 2-sphere.

2. Relevant equations
$ds^2=dθ^2+(sinθ)^2d\phi^2$

3. The attempt at a solution
The goal of this problem is pretty self-explanatory; however, I didn't feel that the topic of killing vectors was covered very well in my course. I was just wondering if someone knew of a site which explained how to approach this sort of problem and the steps which need to be taken. Thanks in advance!