期刊文献+

具有相对迷向平均Landsberg曲率的Matsumoto度量

Matsumoto Metric with Relatively Isotropic Mean Landsberg Curvature
下载PDF
导出
摘要 研究了具有相对迷向平均Landsberg曲率的Matsumoto度量F=2α/(α-β),其中α=aijy^iy^j^(1/2)为黎曼度量,β=biyi为1-形式.特别给出Matsumoto度量具有相对迷向平均Landsberg曲率的几个等价条件. In this paper, we study Matsumoto metric F =α^2/(α-β )with relatively isotropic mean Lands b i berg curvature, where α=√αijy^iy^j is a Riemannian metric, amd β=biy^i is a 1-form. Several equivalent conditions under which Matsumoto metric is of relatively isotropic mean Landsberg curvature are given.
作者 蔡姗姗 王佳
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第11期23-27,共5页 Journal of Southwest University(Natural Science Edition)
基金 西南大学发展基金资助项目(SWNUF2005011)
关键词 Matsumoto度量 相对迷向平均 Landsberg曲率 Matsumoto metric Relatively isotropic mean Landsberg curvature
  • 相关文献

参考文献1

  • 1Ben-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.On a class of weak Landsberg metrics[J].Science China Mathematics,2007,50(4):573-589. 被引量:14

二级参考文献2

  • 1Zhongmin Shen.Finsler manifolds with nonpositive flag curvature and constant S-curvature[J].Mathematische Zeitschrift.2005(3)
  • 2Cheng X,Shen Z.A class of Finsler metrics with isotropic S-curvature[].Preprints.2006

共引文献13

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部