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SPACES OF CONFORMAL VECTOR FIELDS ON PSEUDO-RIEMANNIAN MANIFOLDS

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Abstract

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

참고문헌 (19)

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