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 inScience China. Mathematics Vol. 59; no. 1; pp. 107 - 114
Main Authors Shen, ZhongMin, Yuan, MinGao
Format Journal Article
LanguageEnglish
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