| 具有m次根的射影平坦芬斯勒度量（英文） |
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| 引用本文： | 张淑洁,祖豆蔻,李本伶.具有m次根的射影平坦芬斯勒度量（英文）[J].宁波大学学报(理工版),2011,24(3):48-52. |
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| 作者姓名： | 张淑洁 祖豆蔻 李本伶 |
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| 作者单位： | 宁波大学理学院,浙江宁波,315211 |
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| 基金项目： | Supported by the NNSFC (10801080); Natural Science Foundation of Ningbo (2008A610014); K.C.Wang Magna Fund in Ningbo University |
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| 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.
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| 关 键 词： | 芬斯勒度量 射影平坦 m次根度量 局部闵科夫斯基 |
Projected Flat m-th Root Finsler Metrics |
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| ZHANG Shu-jie,ZU Dou-kou,LI Ben-ling.Projected Flat m-th Root Finsler Metrics[J].Journal of Ningbo University(Natural Science and Engineering Edition),2011,24(3):48-52. |
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| Authors: | ZHANG Shu-jie ZU Dou-kou LI Ben-ling |
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| Institution: | ZHANG Shu-jie,ZU Dou-kou,LI Ben-ling * ( Faculty of Science,Ningbo University,Ningbo 315211,China ) |
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| Abstract: | 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. |
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| Keywords: | Finsler metric projected flat m-th root metric locally Minkowskian |
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