| 黎曼流形上的射影变换和共形变换 |
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| 引用本文： | 郑永凡.黎曼流形上的射影变换和共形变换[J].辽宁大学学报(自然科学版),1991,18(2):39-44. |
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| 作者姓名： | 郑永凡 |
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| 作者单位： | 辽宁大学数学系 |
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| 基金项目： | 辽宁省教委青年科研基金资助课题 |
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| 摘 要： | 本文得到黎曼流形上微分方程组iPh+k(2Pjgih+Pigih+Phgji)=0和ip+kpgji=0的一些等价形式及不存在非平凡解的一个充分条件。
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| 关 键 词： | 黎曼流形 射影变换 共形变换 |
Projective and Conformal Transformations on Riemannian Manifolds |
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| Zheng Yongfan.Projective and Conformal Transformations on Riemannian Manifolds[J].Journal of Liaoning University(Natural Sciences Edition),1991,18(2):39-44. |
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| Authors: | Zheng Yongfan |
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| Institution: | Zheng Yongfan Department of Mathematics,Liaoning University |
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| Abstract: | We consider the following systems of diferential equations, j i+ph+k(2pj gib+pigjh+phgji) =0 and j i p+ kpgji=0 on a Riemannian manifold M, and then obtain some equivalent equations and a sufficient condition for M to admit no nontrivial solution p of such systems. |
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| Keywords: | Projective transformation conformal transformation |
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