On Some Non-Riemannian Quantities in Finsler Geometry

Canadian mathematical bulletin

Zhongmin Shen¹ 

[1] Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province 310027, P.R. China

关键词: Finsler metric;    S-curvature;    non-Riemannian quantity;   

DOI  :  10.4153/CMB-2011-163-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we study several non-Riemannian quantities in Finslergeometry. These non-Riemannian quantities play an important role inunderstanding the geometric properties of Finsler metrics. Inparticular, we study a new non-Riemannian quantity defined by theS-curvature. We show some relationships among the flag curvature,the S-curvature, and the new non-Riemannian quantity.

【 授权许可】

Unknown