An equivalence theorem of a class of Minkowski norms and its applications  

作　　者：Huitao Feng Yuhua Han Ming Li 

机构地区：[1]Chern Institute of Mathematics&LPMC,Nankai University,Tianjin 300071,China [2]Mathematical Science Research Center,Chongqing University of Technology,Chongqing 400054,China

出　　处：《Science China Mathematics》2021年第7期1429-1446,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11221091, 11271062, 11501067, 11571184, 11871126 and 11931007);China Scholarship Council Visiting Scholar Program;the Fundamental Research Funds for the General Universities;Nankai Zhide Foundation。

摘　　要：In this paper, the Cartan tensors of the(α, β)-norms are investigated in detail. Then an equivalence theorem of(α, β)-norms is proved. As a consequence in Finsler geometry, general(α, β)-metrics on smooth manifolds of dimension n 4 with vanishing Landsberg curvatures must be Berwald manifolds.

关 键 词：Landsberg manifold Berwald manifold general(α β)-metric equivalence theorem Cartan tensor parallel transport 

分 类 号：O186.12[理学—数学]