ON A CLASS OF PROJECTIVELY FLAT FINSLER METRICS OF NEGATIVE CONSTANT FLAG CURVATURE

2012/04/09 by XIAOHUAN MO, Xiaohuan Mo, HONGMEI ZHU +1
Physics and Astronomy · #Advanced Differential Geometry Research

paper · doi:10.1142/s0129167x1250084x

openalex publication_date 2012/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

In this paper, we prove a structure theorem for projectively flat Finsler metrics of negative constant flag curvature. We show that for such a Finsler metric if the orthogonal group acts as isometries, then the Finsler metric is a slight generalization of Chern–Shen's construction Riemann–Finsler geometry, Nankai Tracts in Mathematics, Vol. 6 (World Scientific Publishing, Hackensack, NJ, 2005), x+192 pp.

Citations

• Projective spherically symmetric Finsler metrics with constant flag curvature in R n
• Two-dimensional Finsler metrics with constant flag curvature
• On an Asymmetrical Metric in the Four-Space of General Relativity

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