On conformal vector fields on Randers manifolds

In this paper, we study conformal vector fields on a Randers manifold with certain curvature prop- erties. In particular, we completely determine conformal vector fields on a Randers manifold of weakly isotropic flag curvature.

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Veröffentlicht in:	Science China. Mathematics 2012-09, Vol.55 (9), p.1869-1882
Hauptverfasser:	Shen, ZhongMin, Xia, QiaoLing
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Astronomy China Curvature Fields (mathematics) Flags Manifolds Mathematical analysis Mathematics Mathematics and Statistics Series (mathematics) Vectors (mathematics) 兰德斯共形各向同性向量场旗曲率流形矢量场
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Beschreibung
Zusammenfassung:	In this paper, we study conformal vector fields on a Randers manifold with certain curvature prop- erties. In particular, we completely determine conformal vector fields on a Randers manifold of weakly isotropic flag curvature.
ISSN:	1674-7283 1006-9283 1869-1862
DOI:	10.1007/s11425-012-4414-y