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度量缺陷Lyra的几何表象
Lyra Geometry-Representation of Metric Defect
【摘要】 三维Riemann空间的体积曲率张量恒为零,这说明度量缺陷的Riemann空间表象是与度量缺陷的物理内容相矛盾的。 本文导出了用Kondo回路定义的Kondo矢量从场的观点看,就是用Kondo矢量场代替了度量缺陷场,Wey1空间表象与度量缺陷的物理内容相符,但它不是保距的,由(?)可知,度量缺陷的Lyra几何表象具有特殊的优越性。
【Abstract】 The volume curvature tensor of a three-dimesional Riemann space is usually equal to zero, This expresses that Riemann space-representation of metric defect contradicts with physical reality of metric defect. Now Riemann geometry is not optimal mathmatical model of metric defect.In this paper, we produce Kondo vector defined by Kondo circuit.From the view-point of the field, the field of metric defect may be replaced by Kondo vector field. Weyl space-representation coincides with physical reality of metric defect, but it is not isometric. From,it is known that Lyra geometry representation of metric defect has specific superiority.
- 【文献出处】 兰州大学学报 ,Journal of Lanzhou University , 编辑部邮箱 ,1983年02期
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