| 摘要: |
| 本文研究了光滑映射芽在RN作用下的轨道切空间的问题.利用乘积积分理论的方法，获得了光滑映射芽关于右等价群的一类子群RN的无限决定性的结果，推广了光滑映射芽是RN-有限决定的结果. |
| 关键词: 映射芽 无限决定性 RN子群 切空间 |
| DOI： |
| 分类号:O192 |
| 基金项目:国家自然科学基金青年项目（11501103）. |
|
| THE INFLNITE DETERMINACY AND TANGENT SPACE TO THE ORBIT OF SMOOTH MAP-GERMS UNDER THE ACTION OF RN |
|
SU Dan1, LIU Heng-xing2
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1.School of Statistics, University of International Business and Economics, Beijing 100029, China;2.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| In this paper, the tangent space to the orbit of smooth map-germs under the action of RN is investigated. By produce integral theory, the infinite determinacy of smooth map-germs relative to a subgroup RN of right equivalent group is obtained, and the necessary and sufficient conditions for a smooth map-germ to be finitely RN-determined are extended. |
| Key words: map-germs infinite determinacy RN subgroup tangent space |
