| 光滑映射芽的R_N-轨道切空间及R_N-无限决定性 |
| |
| 引用本文： | 苏丹,刘恒兴.光滑映射芽的R_N-轨道切空间及R_N-无限决定性[J].数学杂志,2017,37(3):467-473. |
| |
| 作者姓名： | 苏丹 刘恒兴 |
| |
| 作者单位： | 对外经贸大学统计学院, 北京 100029,武汉大学数学与统计学院, 湖北 武汉 430072 |
| |
| 基金项目： | 国家自然科学基金青年项目（11501103）. |
| |
| 摘 要： | 本文研究了光滑映射芽在R_N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R_N的无限决定性的结果,推广了光滑映射芽是R_N-有限决定的结果.
|
| 关 键 词： | 映射芽 无限决定性 RN子群 切空间 |
| 收稿时间： | 2015/1/22 0:00:00 |
| 修稿时间： | 2015/5/6 0:00:00 |
THE INFLNITE DETERMINACY AND TANGENT SPACE TO THE ORBIT OF SMOOTH MAP-GERMS UNDER THE ACTION OF RN |
| |
| SU Dan and LIU Heng-xing.THE INFLNITE DETERMINACY AND TANGENT SPACE TO THE ORBIT OF SMOOTH MAP-GERMS UNDER THE ACTION OF RN[J].Journal of Mathematics,2017,37(3):467-473. |
| |
| Authors: | SU Dan and LIU Heng-xing |
| |
| Institution: | School of Statistics, University of International Business and Economics, Beijing 100029, China and School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
| |
| 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. |
| |
| Keywords: | map-germs infinite determinacy RN subgroup tangent space |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
