Killing vector fields on compact Finsler manifolds

doi:10.5486/PMD.2016.6039

CSpace

	Killing vector fields on compact Finsler manifolds
	Li, Jinling 1; Qiu, Chunhui 2; Zhong, Tongde 2
	2016
发表期刊	PUBLICATIONES MATHEMATICAE-DEBRECEN
ISSN	0033-3883
卷号	88 期号:1-2 页码:3-19
摘要	In this paper, we obtain the Weitzenbock type formula for Killing vector fields on a compact Finsler manifold. By using the "Bochner technique", we prove that Killing vector fields are parallel or vanish identically under certain curvature condition and other extra condition. In particular, we discuss Killing vector fields on some compact special Finsler manifolds. Moreover, we prove that the number of the independent Killing vector fields in a Minkowskian space is equal to the dimension of a Minkowskian space.
关键词	Finsler metric Killing vector field Berwald connection
DOI	10.5486/PMD.2016.6039
语种	英语
资助项目	National Natural Science Foundation of China[11171277] ; National Natural Science Foundation of China[11571288]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000378167500001
出版者	KOSSUTH LAJOS TUDOMANYEGYETEM
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22951
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jinling
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
推荐引用方式 GB/T 7714	Li, Jinling,Qiu, Chunhui,Zhong, Tongde. Killing vector fields on compact Finsler manifolds[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN,2016,88(1-2):3-19.
APA	Li, Jinling,Qiu, Chunhui,&Zhong, Tongde.(2016).Killing vector fields on compact Finsler manifolds.PUBLICATIONES MATHEMATICAE-DEBRECEN,88(1-2),3-19.
MLA	Li, Jinling,et al."Killing vector fields on compact Finsler manifolds".PUBLICATIONES MATHEMATICAE-DEBRECEN 88.1-2(2016):3-19.