Properties of Berwald scalar curvature  

作　　者：Ming LI lIHONG zhang 

机构地区：[1]Mathematical Science Research Center,Chongqing University of Technology,Chongqing 400054,China [2]School of Sciences,Chongqing University of Technology,Chongqing 400054,China

出　　处：《Frontiers of Mathematics in China》2020年第6期1143-1153,共11页中国高等学校学术文摘·数学（英文）

基　　金：supported in part by the National Natural Science Foundation of China(Grant Nos.11871126,11501067,11571184).

摘　　要：We prove that a Finsler manifold with vanishing Berwald scalar curvature has zero E-curvature.As a consequence,Landsberg manifolds with vanishing Berwald scalar curvature are Berwald manifolds.For(α,β)-metrics on manifold of dimension greater than 2,if the mean Landsberg curvature and the Berwald scalar curvature both vanish,then the Berwald curvature also vanishes.

关 键 词：Landsberg curvature Berwald curvature E-curvature S-curvature Berwald scalar curvature 

分 类 号：O18[理学—数学]