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具有某些非黎曼曲率性质的Douglas度量

Shan-zeng XUE,Xin-yue CHENG,Ke-gang YAO

Journal of Southwest University(Natural Science Edition)（2009）

Cited 23|Views2
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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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