Journal of the
Korean Mathematical Society JKMS

We study Riemannian or pseudo-Riemannian manifolds which carry the space of closed conformal vector fields of at least 2-dimension. Subject to the condition that at each point the set of closed conformal vector fields spans a non-degenerate subspace of the tangent space at the point, we prove a global and a local classification theorems for such manifolds.

Keywords: pseudo-Riemannian manifold, warped product, conformal vector field

MSC numbers: 53C50, 53A30, 53C25