An equivalence theorem of a class of Minkowski norms and its applications In Memory of Professor Zhe

• 作 者: Huitao Feng Yuhua Han Ming Li
• 机 构: Chern Institute of Mathematics&LPMC,Nankai University,Tianjin 300071,China;Mathematical Science Rese
• 出 处: 中国科学：数学（英文版）
• 发表日期: 2021年7期
• 关键词: Landsberg manifold Berwald manifold general(α β)-metric equivalence theorem Cart

I 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.