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	On a new class of Finsler metrics
	Yu, Changtao ; Zhu, Hongmei
	2011
关键词	Finsler metric (alpha, beta)-norm General (alpha, beta)-metric Projective flatness CURVATURE
英文摘要	In this paper, the geometric meaning of (alpha, beta)-norms is made clear. On this basis, a new class of Finsler metrics called general (alpha, beta)-metrics are introduced, which are defined by a Riemannian metric and a 1-form. These metrics not only generalize (alpha, beta)-metrics naturally, but also include some metrics structured by R. Bryant. The spray coefficients formula of some kinds of general (alpha, beta)-metrics is given and the projective flatness is also discussed. (C) 2010 Elsevier B.V. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 16; ARTICLE; 2; 244-254; 29
语种	英语
出处	SCI
出版者	differential geometry and its applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/240617]
专题	数学科学学院
推荐引用方式 GB/T 7714	Yu, Changtao,Zhu, Hongmei. On a new class of Finsler metrics. 2011-01-01.

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