| 具有某些非黎曼曲率性质的Douglas度量 |
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| 引用本文： | 薛善增,程新跃,尧克刚.具有某些非黎曼曲率性质的Douglas度量[J].西南大学学报,2009,31(6). |
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| 作者姓名： | 薛善增 程新跃 尧克刚 |
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| 作者单位： | 薛善增,尧克刚,XUE Shan-zeng,YAO Ke-gang(重庆大学,数理学院,重庆,400044);程新跃,CHENG Xin-yue(重庆理工大学,数理学院,重庆,400050) |
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| 基金项目： | 国家自然科学基金，重庆市自然科学基金资助项目，重庆市教委科学技术研究项目资助 |
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| 摘 要： | 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.Abstract：A complete Douglas space (M, F) is studied. It is proved that if the Cartan torsion of a complete Douglas space (M, F) is bounded and F satisfies that H = 0 and Ejk. l\m = 0, then F is a Berwald metric.Here E is the mean Berwald curvature of F, and H is the geometric quantity which characterizes the rate of the change of E along geodesics.
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| 关 键 词： | Finsler度量 Douglas度量 Berwald曲率 Landsberg曲率 Cartan张量 |
Douglas Metrics with Some Non-Riemannian Curvature Properties |
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| XUE Shan-zeng,CHENG Xin-yue,YAO Ke-gang.Douglas Metrics with Some Non-Riemannian Curvature Properties[J].Journal of Southwest Agricultural University,2009,31(6). |
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| Authors: | XUE Shan-zeng CHENG Xin-yue YAO Ke-gang |
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