(α, β)metrics with Special Curvature Properties 

Author  WangHui 
Tutor  ChengXinYue 
School  Chongqing University 
Course  Basic mathematics 
Keywords  Finsler metric (α,β)metric mean Cartan torsion mean Landsberg curvature 
CLC  O186.1 
Type  Master's thesis 
Year  2008 
Downloads  17 
Quotes  0 
(α,β)metrics form an important and computable class of Finsler metrics. In this paper, we obtain firstly a formula of mean Cartan torsion for (α,β)metrics and characterize Riemann metrics among (α,β) metrics. Further, we study the (α,β) metrics with relatively isotropic mean Landsberg curvature and obtain a sufficient and necessary condition for the (α,β)metrics to be of relatively isotropic mean Landsberg curvature, which generalizes the classification theorem on the weakly Landsberg (α,β)metrics given by ChineseAmerican mathematician Z. Shen and B. Li released on“Science in China Series A”.