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http://dx.doi.org/10.4134/JKMS.2005.42.3.471

SPACES OF CONFORMAL VECTOR FIELDS ON PSEUDO-RIEMANNIAN MANIFOLDS  

KIM DONG-SOO (Department of Mathematics Chonnam National University)
KIM YOUNG-HO (Department of Mathematics Kyungpook National University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 471-484 More about this Journal
Abstract
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;
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