Killing Vector Fields of Constant Length on Riemannian Normal   Homogeneous Spaces
  Killing vector fields of constant length correspond to isometries of constant displacement. Those in turn have been used to study homogeneity of Riemannian and Finsler quotient manifolds. Almost all of that work has been done for group manifolds or, more generally, for symmetric spaces. This paper extends the scope of research on constant length Killing vector fields to a class of Riemannian normal homogeneous spaces. 
Ming Xu and Joseph A. Wolf
math.DG math.GR