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1/4对称度量循环联络的共形变换和射影变换
引用本文:张亚阳,许文彬.1/4对称度量循环联络的共形变换和射影变换[J].渤海大学学报(自然科学版),2006,27(3):220-223.
作者姓名:张亚阳  许文彬
作者单位:集美大学,理学院,福建,厦门,361021
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。

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
文章编号:1673-0569(2006)03-0220-04
收稿时间:03 14 2006 12:00AM
修稿时间:2006年3月14日

Comformal and projection conformations of quarter symmetric metric concurrent connections
ZHANG Ya-yang,XU Wen-bin.Comformal and projection conformations of quarter symmetric metric concurrent connections[J].Journal of Bohai University:Natural Science Edition,2006,27(3):220-223.
Authors:ZHANG Ya-yang  XU Wen-bin
Institution:College of Science, Jimei University, Xiamen 361021, China
Abstract: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.
Keywords:Riemannian manifold  quarter symmetric metric concurrent connection  conformal transformation  projection transformation
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