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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Bibliographic Details
Published inScience China. Mathematics Vol. 55; no. 9; pp. 1869 - 1882
Main Authors Shen, ZhongMin, Xia, QiaoLing
Format Journal Article
LanguageEnglish
Published Heidelberg SP Science China Press 01.09.2012
Subjects
Applications of Mathematics
China
Curvature
Flags
Manifolds
Mathematical analysis
Mathematics
Mathematics and Statistics
Vectors (mathematics)
兰德斯
共形
各向同性
向量场
旗曲率
流形
矢量场
conformal vector field
53B40
navigation problem
53C60
Randers metric
flag curvature
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Summary: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.
Bibliography:Randers metric, conformal vector field, flag curvature, navigation problem
11-1787/N
SHEN ZhongMin＆ XIA QiaoLing 1 Department of Mathematical Sciences, Indiana University-Purdue University, Indianapolis 46202-3216, USA 2 Department of Mathematics, Zhejiang University, Hangzhou 310027, China Email： zshen@math.iupui.edu, xiaqiaoling@zju.edu.cn
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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ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-012-4414-y