Conformal vector fields on some Finsler manifolds

We study conformal vector fields on a Finsler manifold whose metric is defined by a Riemannian metric, a 1-form and its norm. We find PDEs characterizing conformal vector fields. Then we obtain the explicit expressions of conformal vector fields for certain spherically symmetric metrics on R^n.

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Bibliographic Details
Published in:	Science China. Mathematics Vol. 59; no. 1; pp. 107 - 114
Main Authors:	Shen, ZhongMin, Yuan, MinGao
Format:	Journal Article
Language:	English
Published:	Beijing Science China Press 2016
Subjects:	1-形式 Applications of Mathematics China Fields (mathematics) Finsler流形 Manifolds Mathematical analysis Mathematics Mathematics and Statistics Norms Symmetry 偏微分方程共形向量场对称度量表达式黎曼度量 general 53B40 conformal vector field spherically symmetric metrics metrics , 53C60
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Summary:	We study conformal vector fields on a Finsler manifold whose metric is defined by a Riemannian metric, a 1-form and its norm. We find PDEs characterizing conformal vector fields. Then we obtain the explicit expressions of conformal vector fields for certain spherically symmetric metrics on R^n.
Bibliography:	general（α,β）-metrics, conformal vector field, spherically symmetric metrics We study conformal vector fields on a Finsler manifold whose metric is defined by a Riemannian metric, a 1-form and its norm. We find PDEs characterizing conformal vector fields. Then we obtain the explicit expressions of conformal vector fields for certain spherically symmetric metrics on R^n. 11-5837/O1 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	1674-7283 1869-1862
DOI:	10.1007/s11425-015-5099-9