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On a class of weak Landsberg metrics

查看全文 作  者:Ben-ling LI & Zhong-min SHEN Department of Mathematics, Zhejiang University, Hangzhou 310028, China;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 高影响力作者 出  处:《Science China Mathematics》索引2007年第50卷第4期,共17页高影响力期刊 基  金:This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10571154 and 10671214) and the Natural Science Foundation on IR/D 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. 关 键 词:FINSLER METRIC WEAK Landsberg METRIC β)-metric
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