期刊文献+

具有特别曲率性质的m次根芬斯勒度量

M-th root finsler metrics with special curvature properties
下载PDF
导出
摘要 研究形如F=(ai1i2…im(x)yi1 yi2…yim)(1/m)的m(m≥3)次根芬斯勒度量.分类这类度量具有相对迷向的平均Landsberg曲率或者具有相对迷向的Landsberg曲率. Finsler metrics with m-th root in the form F=m√ai1i2…im(x)y^i1 y^i2…y^im are studied where m≥3.This class of metrics is classified as two:one has relatively isotropic mean Landsberg curvature and another has relatively isotropic Landsberg curvature.
作者 蒋经农 冯伟
出处 《兰州理工大学学报》 CAS 北大核心 2014年第5期166-168,共3页 Journal of Lanzhou University of Technology
基金 贵州省科学技术基金(黔科合J字LKZ[2012]01号)
关键词 芬斯勒度量 m次根芬斯勒度量 平均Landsberg曲率 Landsberg曲率 Finsler metric Finsler metric with m-th root mean Landsberg curvature Landsberg curvature
  • 相关文献

参考文献12

  • 1SHIMADA H.On Finsler spaces with metric L=(ai1i2…im× yi1yi2…yim)1/m[J].Tensor (N.S.),1979,33:365-372.
  • 2ASANOV G S.Finslerian extension of general relativity [M].Reidel:Dordrecht,1984.
  • 3HU Z,DENG S.Invariant fourth root Finsler metrics on the Grassmannian manifolds [J].Journal of Geometry and Physics,2011,61:18-25.
  • 4PAVLOV D G.Space-time structure [J].Algebra and Geometry,2006,50:156-166.
  • 5CHERN S S,SHEN Z M.Riemann-finsler geometry [M].Singapore:World Scientific Publishers,2005.
  • 6SHEN Z M.Differential geometry of spray and finsler spaces [M].Dordrecht:Kluwer Academic Publishers,2001.
  • 7SHEN Z M.On a class of Landsberg metrics in Finsler geometry [J].Canad J Math,2012,64:183-216.
  • 8CHENG X Y,SHEN Z M.Randers metrics with special curvature [J].Osaka J Math,2003,40:87-101.
  • 9CHENG X Y,WANG H,WANG M.(α,β)-metrics with relatively isotropic mean Landsberg culvature [J].Publ Math Debrecen,2008,72(3):475-485.
  • 10JIANG J N,FENG W.Four root Finsler metrics with special curvature properties [J].J of Chongqing university of technology,2012,26(8):117-119.

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