On (α,β)-metrics with isotropic Berwald curvature

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• 作者：Guangzu Chen ; ¹ ; ^{chenguangzu1@163.com} ; Lihong Liu ^{304482707@qq.com}
• 关键词：(α ; β)(α ; β)-metric ; Berwald curvature ; Randers metrics
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：448
• 期：1
• 页码：347-356
• 全文大小：304 K
• 卷排序：448

文摘

In this paper, we study almost regular (α,β)(α,β)-metrics with isotropic Berwald curvature. It is surprise that such metrics must be Randers type or Berwald metric. Thus there are no non-trivial (α,β)(α,β)-metrics of isotropic Berwald curvature except for Randers metrics. Further, we also classify Kropina metric which is singular with isotropic Berwald curvature.