# name
A necessary and sufficient condition for a vector field to be Killing

# metadata.dc.description.abstract[].value
Lynge (see (4)), proved that X vector field on a compact and connected manifold M, is Killing in a Riemannian metric g, if and only if there exist k complete vector fields X1 , ... , Xk; such that: 
1) The fl.ows of the Xi are a11 periodic, 
2) [X;, X;]= O, i,j = 1, ... , k,
3)  = E,! 1 c; X;, c; real numbers...

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
A necessary and sufficient condition for a vector field to be Killing