Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 4: 485 - 498

DOI: https://doi.org/10.1007/s11464-006-0023-9

Riemann-Finsler geometry

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  • 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

Published date: 05 Dec 2006

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Abstract

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

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