射影化Finsler丛及其联络  

On Projectivized Finsler Bundle and Its Connection

作　　者：王淑珍[1] 龚家骧[1] 

机构地区：[1]福建师范大学数学系

出　　处：《福建师范大学学报（自然科学版）》1998年第4期23-29,共7页Journal of Fujian Normal University：Natural Science Edition

摘　　要：构作了以射影化切丛ＰＴＭ为底空间的主丛射影化Ｆｉｎｓｌｅｒ丛ＰＦＭ，探讨了丛ＰＦＭ中的联络的性质，得到了丛ＦＭ中的联络、丛ＰＦＭ中的联络及π＊ＴＭ的协变微分三者之间的关系，特别指出π＊ＴＭ的协变微分在某种意义下就是Ｒｕｎｄ联络．The projectivized Finsler bundle PFM was contructed.After the connections in the bundle PFM were studied,the relations among the connections in the bundle FM and in the bundle PFM and the covariant differentiations in π TM were obtained.Also pointed out that the special covariant differentiation  in π TM is just the Rund connection in a sense.

关 键 词：射影化切丛 射影化芬斯拉丛 联络 芬斯拉联络 

分 类 号：O189.34[理学—数学]