Properties of Berwald scalar curvature

作     者：Ming LI lIHONG zhang Ming LI;Lihong ZHANG

作者机构：Mathematical Science Research CenterChongqing University of TechnologyChongqing 400054China School of SciencesChongqing University of TechnologyChongqing 400054China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2020年第15卷第6期

页      面：1143-1153页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主　　题：Landsberg curvature Berwald curvature E-curvature S-curvature Berwald scalar curvature 

摘      要：We prove that a Finsler manifold with vanishing Berwald scalar curvature has zero *** a consequence,Landsberg manifolds with vanishing Berwald scalar curvature are Berwald ***(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.