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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.
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참고문헌 (19)
참고문헌 신청
/ 1976 / Transformations conformes des varietes pseudo-riemanniannes 11 : 547 ~ 571
/ 1980 / Brinkmann's theorem in general relativity and non-Riemannian？ : 767 ~ 773
/ 1982 / Brinkmann's theorem in general relativity 14 : 1193 ~ 1195
/ 1985 / A characterization of a？ne conformal vector ？ : 201 ~ 205
/ 1988. / Conformal transformations of pseudo-Riemannian Einstein manifolds
/ 1980 / Brinkmann's theorem in general relativity and non-Riemannian？ : 767 ~ 773
/ 1982 / Brinkmann's theorem in general relativity 14 : 1193 ~ 1195
/ 1985 / A characterization of a？ne conformal vector ？ : 201 ~ 205
/ 1988. / Conformal transformations of pseudo-Riemannian Einstein manifolds
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