On Some Non-Riemannian Quantities in Finsler Geometry
On Some Non-Riemannian Quantities in Finsler Geometry
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DOI：
10.4153/cmb-2011-163-4
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发表时间：
2013-03
期刊：
影响因子：
--
通讯作者：
Zhongmin Shen
中科院分区：
文献类型：
--
作者：
Zhongmin Shen
摘要本文研究了芬斯勒几何中的几个非黎曼量。这些非黎曼量在理解芬斯勒度量的几何性质方面起着重要的作用。特别地，我们研究了由$\text{S}$ -曲率定义的一个新的非黎曼量。我们给出了标志曲率、$\text{S}$ -曲率和新的非黎曼量之间的一些关系。
Abstract In this paper we study several non-Riemannian quantities in Finsler geometry. These non-Riemannian quantities play an important role in understanding the geometric properties of Finsler metrics. In particular, we study a new non-Riemannian quantity defined by the $\text{S}$ -curvature. We show some relationships among the flag curvature, the $\text{S}$ -curvature, and the new non-Riemannian quantity.