Spaces of Conformal Vector Fields on Pseudo-riemannian Manifolds

نویسندگان

  • Dong-Soo Kim
  • Young Ho Kim
چکیده

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.

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تاریخ انتشار 2005