1.College of Applied Science, Beijing University of Technology, Beijing 100022, China; 2.Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China
In this paper, a survey on Riemann-Finsler geometry is given. Non-trivial examples of Finsler metrics satisfying different curvature conditions are presented. Local and global results in Finsler geometry are analyzed.
Cite this article
GUO Enli, MO Xiaohuan. Riemann-Finsler geometry[J]. Frontiers of Mathematics in China, 2006, 1(4): 485-498. DOI: 10.1007/s11464-006-0023-9