具有生态度量的Finsler空间  

Finsler Spaces with Ecological Metric

作　　者：陈启旭 

出　　处：《福建师范大学学报（自然科学版）》1995年第3期27-32,共6页Journal of Fujian Normal University：Natural Science Edition

摘　　要：研究具生态度量的Ｆｉｎｓｌｅｒ空间的加当联络．通过简单的计算证明了Ｓ３－型性质，求得非线性联络系数与测地线微分方程，并且指出，在可适坐标系下，联络系数Ｆｉｊｋ、挠率与曲率的分量都仅仅是单位支持元素或支持元素的齐次有理式。in this paper.studies the Cartan connection on Finsler spaces with ecological metric.By simple calculation,completes the proof of S3-like property,gets the nonlinear connection coetticients and the differential equation of geodesics,and show that the connection coefficients F,components of torsions and curvatures in any adapted coordinate system are merely some homogeneous rational expressions of the nornialized supporting element or supporting element.

关 键 词：生态度量 加当联络 芬斯拉空间 生物学 

分 类 号：Q－332[生物学]