具有某些非黎曼曲率性质的Douglas度量
Journal of Southwest University(Natural Science Edition)(2009)
Abstract
研究完备的Douglas空间(M,F),证明了如果其Cartan张量是有界的,且满足H=0和Ejk,l/m=0,则F为Berwald度量,其中E为F的平均Berwald曲率,H为刻划E沿测地线的变化率的几何量.
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Key words
Douglas metric,Cartan torsion,Finsler metric,Berwald curvature,Landsberg curvature
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