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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论