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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;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： | 2006-03-14 |
| 修稿时间： | 2006-03-14 |
Comformal and projection conformations of quarter symmetric metric concurrent connections |
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| ZHANG Ya-yang,XU Wen-bin. Comformal and projection conformations of quarter symmetric metric concurrent connections[J]. Journal of Bohai University:Natural Science Editio, 2006, 27(3): 220-223 | |
| Authors: | ZHANG Ya-yang XU Wen-bin |
| Affiliation: | 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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