|
|||||
|
|
| Some constructions of projectively flat Finsler metrics | |
| 作者姓名： | MO Xiaohuan SHEN Zhongmin & YANG Chunhong LMAM School of Mathematical Sciences Peking University Beijing China |
| 作者单位： | MO Xiaohuan，SHEN Zhongmin & YANG Chunhong LMAM，School of Mathematical Sciences，Peking University，Beijing 100871，China; Department of Mathematical Sciences，Indiana University-Purdue University，Indianapolis，IN 46202-3216，USA; Department of Mathematics，Inner Mongolia University，Hohhot 010021，China |
| 摘 要： | In this paper, we find some solutions to a system of partial differential equations that characterize the projectively flat Finsler metrics. Further, we discover that some of these metrics actually have the zero flag curvature. |
| 关 键 词： | (α β)-metric |
| 收稿时间： | 7 October 2005 |
| 修稿时间： | 21 November 2005 |
Some constructions of projectively flat Finsler metrics |
|
| MO Xiaohuan,SHEN Zhongmin & YANG Chunhong LMAM,School of Mathematical Sciences,Peking University,Beijing ,China,.Some constructions of projectively flat Finsler metrics[J].Science in China(Mathematics),2006,49(5):703-714. | |
| Authors: | MO Xiaohuan SHEN Zhongmin YANG Chunhong |
| Institution: | 1. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China 2. Department of Mathematical Sciences, Indiana University-Purdue University, Indianapolis, IN 46202-3216, USA 3. Department of Mathematics, Inner Mongolia University, Hohhot 010021, China |
| Abstract: | In this paper, we find some solutions to a system of partial differential equations that characterize the projectively flat Finsler metrics. Further, we discover that some of these metrics actually have the zero flag curvature. |
| Keywords: | Randers metric Finsler metric projectively flat metric Scurvature |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ | |