CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Ricci Curvature Tensor and Non-Riemannian Quantities

  Published:2015-05-14
 Printed: Sep 2015
  • Benling Li,
    Department of Mathematics, Ningbo University, Ningbo, Zhejiang Province 315211, P.R. China
  • Zhongmin Shen,
    Department of Mathematical Sciences, Indiana University-Purdue University, Indianapolis, IN 46202-3216, USA
Format:   LaTeX   MathJax   PDF  

Abstract

There are several notions of Ricci curvature tensor in Finsler geometry and spray geometry. One of them is defined by the Hessian of the well-known Ricci curvature. In this paper we will introduce a new notion of Ricci curvature tensor and discuss its relationship with the Ricci curvature and some non-Riemannian quantities. By this Ricci curvature tensor, we shall have a better understanding on these non-Riemannian quantities.
Keywords: Finsler metrics, sprays, Ricci curvature, non-Riemanian quantity Finsler metrics, sprays, Ricci curvature, non-Riemanian quantity
MSC Classifications: 53B40, 53C60 show english descriptions Finsler spaces and generalizations (areal metrics)
Finsler spaces and generalizations (areal metrics) [See also 58B20]
53B40 - Finsler spaces and generalizations (areal metrics)
53C60 - Finsler spaces and generalizations (areal metrics) [See also 58B20]
 

© Canadian Mathematical Society, 2017 : https://cms.math.ca/