I want to find the integral curves of $[X,Y]$, then maybe can use this to prove. Can anyone gives an answer ? Thanks.
Prove that Killing vector fields form Lie algebra.
4
$\begingroup$
differential-geometry
riemannian-geometry
-
1Is your question the one in the title of this post? Or is it something else? – 2012-03-13
-
0Yes,just the question in the title. – 2012-03-14
-
0Just prove if $X$,$Y$ are both killing vector fields,then $[X,Y]$ is also killing vector field.Can anyone give some suggestions?Thanks. – 2012-03-14