논문KCI 등재
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.
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관련 논문AI추천
Einstein spaces and conformal vector fields김동수, 김영호, 박성희대한수학회 · 대한수학회지2006 · 제43권 제1호Conformally Flat Quasi-Einstein SpacesDiptiman Saha, Joydeep Sengupta, Uday Chand De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호Conformal vector fields and totally umbilic hypersurfaces김동수, 김선부, 김영호, 박성희대한수학회 · 대한수학회보2002 · 제39권 제4호Conformal Transformations of a Weyl ManifoldFumio Narita, Takafumi Satou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호On a conformal Killing vector fields in a compact almost Kahlerian manifols전재복, Kazuhiko Takano대한수학회 · 대한수학회보2005 · 제42권 제1호CONFORMAL DEFORMATION ONA SEMI-RIEMANNIAN MANIFOLD (II)Mi-HyunShin, Soo-YoungLee, Yoon-TaeJung한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제2호
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