| 带广义对称性的等变分歧问题的研究 |
| |
| 引用本文： | 刘瑞娟,施恩伟.带广义对称性的等变分歧问题的研究[J].四川理工学院学报(自然科学版),2009,22(5). |
| |
| 作者姓名： | 刘瑞娟 施恩伟 |
| |
| 作者单位： | 云南师范大学数学学院,昆明,650092 |
| |
| 基金项目： | 云南省教育厅基金资助项目 |
| |
| 摘 要： | 文章将主要研究在广义对称条件下分歧问题的相关性质,提出ΓΔ-等变概念,它是一般定义下等变概念的推广,在此基础上研究在接触等价条件下ΓΔ-等变分歧问题的相关基本性质:ΓΔ-不变函数芽环上的有限生成模与相应切空间的性质,ΓΔ-等变分歧问题的开折是通用开折的一个充分必要条件。推广了前人工作的结果。
|
| 关 键 词： | ΓΔ-等变分歧问题 通用开折 接触等价 |
Discussion and Research of Equivariant Bifurcation Problem with Generalized Symmetry |
| |
| LIU Rui-juan,SHI En-wei.Discussion and Research of Equivariant Bifurcation Problem with Generalized Symmetry[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(5). |
| |
| Authors: | LIU Rui-juan SHI En-wei |
| |
| Abstract: | In this paper,some main properties of bifurcation problem with generalized symmetry are studied.The main result is that the conception of ΓΔ-equivariance is given.It is an extension of general conception of ΓΔ-equivariance.On this base,some properties of ΓΔ-equivariant bifurcation problem under contact equivalence are obtained:the finite modules over the rings of ΓΔ-invariant functons and the property of its tangent space are obtained and an sufficient and necessary conditon that an unfolding of ΓΔ-bifurcation problem is a versal unfolding is given.Therefore,the results of predecessors are extended. |
| |
| Keywords: | ΓΔ-equivariant bifurcation problem versal unfolding contact equivalent |
| 本文献已被 万方数据 等数据库收录！ |
|
