摘要
定义了1/4对称度量循环联络,研究了1/4对称度量循环联络的共形变换和射影变换,得到了一些有意义的结论,1)D的共形变换D的(1)型张量,1形-式与D的(1)型张量,1-形式之间关系;2)两个1/4对称度量循环联络满足一定条件,可以互为射影变换。
The quarter symmetric metric concurrent connection is defined and its conformal and projection conformations are studied wuth some meaningful conclusions:the relationship between D's conformal transformtaion (1)-tensor, 1-form and D's (1)-tensor ,and 1-form ; under certain condition, 2 quarter symmetric metric connections may be exchangeable in projection transformation.
出处
《渤海大学学报(自然科学版)》
CAS
2006年第3期220-223,共4页
Journal of Bohai University:Natural Science Edition
基金
福建省基金资助项目(Z0511036)
关键词
黎曼流形
1/4对称度量循环联络
共形变换
射影变换
Riemannian manifold
quarter symmetric metric concurrent connection
conformal transformation
projection transformation