具有m次根的射影平坦芬斯勒度量(英文)  

Projected Flat m-th Root Finsler Metrics

作　　者：张淑洁[1] 祖豆蔻[1] 李本伶[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2011年第3期48-52,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：Supported by the NNSFC (10801080);Natural Science Foundation of Ningbo (2008A610014);K.C.Wang Magna Fund in Ningbo University

摘　　要：在Rn上的开子集射影平坦芬斯勒度量是希尔伯特第四问题的正则情况.作者研究了m次根的芬斯勒度量以及广义的m次根的芬斯勒度量,证明了在不可约的条件下这种度量是局部闵科夫斯基的.Projected flat Finsler metrics on an open subset in R n are the regular solution to Hilbert’s Fourth Problem. We study locally projected flat m-th root Finsler metrics and its generalized metrics in this paper. We prove that they must be locally Minkowskian if they are irreducible.

关 键 词：芬斯勒度量 射影平坦 m次根度量 局部闵科夫斯基 

分 类 号：O186[理学—数学]