Minkowski空间的等价性定理及在Finsler几何的应用

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Minkowski空间的等价性定理及在Finsler几何的应用李明重庆理工大学理学院重庆 400054 On Equivalence Theorems of Minkowski Spaces and Applications in Finsler Geometry Ming LISchool of Science, Chongqing University of Technology, Chongqing 400054, P. R. China

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摘要首先利用中心仿射几何中的结果建立了Minkowski空间的等价性定理.作为在Finsler几何中的应用，我们证明满足一定条件的 Landsberg 空间为 Berwald 空间，这些条件可以是具有闭的 Cartan 型形式，S曲率为零或平均 Berwald曲率为零.

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收稿日期: 2018-03-01

MR (2010):

O186.14

基金资助:国家自然科学基金资助项目（11501067，11571184）；the Marie Cuire IRSE Sproject（PIRSES-GA-2012-317721-LIE-DIFF-GEOM）

作者简介: 李明,E-mail:mingli@cqut.edu.cn

引用本文:

李明. Minkowski空间的等价性定理及在Finsler几何的应用[J]. 数学学报, 2019, 62(2): 177-190. Ming LI. On Equivalence Theorems of Minkowski Spaces and Applications in Finsler Geometry. Acta Mathematica Sinica, Chinese Series, 2019, 62(2): 177-190.

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