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	Finsler metrics with constant (or scalar) flag curvature
	Mo Xiaohuan
	2012
关键词	Finsler metric scalar curvature weakly isotropic flag curvature.
英文摘要	A Finsler metric on a manifold M with its flag curvature K is said to be almost isotropic flag curvature if K = 3c˙ + σ where σ and c are scalar functions on M. In this paper, we establish the intrinsic relation between scalar functions c(x) and σ(x). More general, by invoking the Ricci identities for a one form, we investigate Finsler metric of weakly isotropic flag curvature K = 3θ/F + σ and show that F has constant flag curvature if θ is horizontally parallel.; The National Natural Science Foundation of China,Research Fund for the Doctoral Program of Higher Education of China; 中国科学引文数据库(CSCD); 1; 1-8; 27
语种	英语
出处	CSCD
出版者	Applied Mathematics. Series B， A Journal of Chinese Universities
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/419613]
专题	数学科学学院
推荐引用方式 GB/T 7714	Mo Xiaohuan. Finsler metrics with constant (or scalar) flag curvature. 2012-01-01.

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