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	On Finsler surfaces of constant flag curvature with a Killing field
	Bryant, R. L. ; Huang, L. ; Mo, X.
	2017
关键词	Finsler metric Constant flag curvature Killing field Normal form METRICS MANIFOLDS
英文摘要	We study two-dimensional Finsler metrics of constant flag curvature and show that such Finsler metrics that admit a Killing field can be written in a normal form that depends on two arbitrary functions of one variable. Furthermore, we find an approach to calculate these functions for spherically symmetric Finsler surfaces of constant flag curvature. In particular, we obtain the normal form of the Funk metric on the unit disk D-2. (C) 2017 Elsevier B.V. All rights reserved.; National Natural Science Foundation of China [11371032, 11301283]; United States National Science Foundation [DMS-1359583]; Duke University; SCI(E); ARTICLE; 345-357; 116
语种	英语
出处	SCI
出版者	JOURNAL OF GEOMETRY AND PHYSICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/473275]
专题	数学科学学院
推荐引用方式 GB/T 7714	Bryant, R. L.,Huang, L.,Mo, X.. On Finsler surfaces of constant flag curvature with a Killing field. 2017-01-01.

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