Ricci Curvature Tensor and Non-Riemannian Quantities

Canadian mathematical bulletin

Benling Li²  Zhongmin Shen¹ 

[1] Department of Mathematical Sciences, Indiana University-Purdue University, Indianapolis, IN 46202-3216, USA;Department of Mathematics, Ningbo University, Ningbo, Zhejiang Province 315211, P.R. China

关键词: Finsler metrics;    sprays;    Ricci curvature;    non-Riemanian quantity;   

DOI  :  10.4153/CMB-2014-063-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

There are several notions of Ricci curvature tensorin Finsler geometry and spray geometry. One of them is defined by theHessian of the well-known Ricci curvature. In this paper we will introduce a new notion of Ricci curvaturetensor and discuss its relationship with the Ricci curvature and somenon-Riemannian quantities. By this Ricci curvature tensor, we shallhave a better understanding on these non-Riemannian quantities.

【 授权许可】

Unknown