| On a class of weak Landsberg metrics |
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| 作者单位： | Ben-ling LI（Department of Mathematics,Zhejiang University,Hangzhou 310028,China） ;
Zhong-min SHEN（Department of Mathematical Sciences,Indiana University Purdue University Indianapolis (IUPUI),402 N.Blackford Street,Indianapolis,IN 46202-3216,USA;Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China） ; |
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| 摘 要： | In this paper, we discuss a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We characterize weak Landsberg metrics in this class and show that there exist weak Landsberg metrics which are not Landsberg metrics in dimension greater than two.
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| 关 键 词： | (α β)-metric |
On a class of weak Landsberg metrics |
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| Authors: | Ben-ling Li Zhong-min Shen |
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| Institution: | 1. Department of Mathematics,Zhejiang University,Hangzhou 310028,China
2. Department of Mathematical Sciences,Indiana University Purdue University Indianapolis (IUPUI),402 N.Blackford Street,Indianapolis,IN 46202-3216,USA;Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China |
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| Abstract: | In this paper, we discuss a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We characterize weak Landsberg metrics in this class and show that there exist weak Landsberg metrics which are not Landsberg metrics in dimension greater than two. |
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| Keywords: | Finsler metric weak Landsberg metric |
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