| 关于微分同胚的一个充分必要条件 |
| |
| 引用本文： | 李维萍,于永溪.关于微分同胚的一个充分必要条件[J].数学研究及应用,2000,20(1):1-22. |
| |
| 作者姓名： | 李维萍 于永溪 |
| |
| 作者单位： | 1. Dept. of Math., Oklahoma State University, Stillwater, Oklahoma 74078-613. U.S.A
2. 苏州大学数学系,215006 |
| |
| 摘 要： | 确定两个流形是否Cr-微分同胚是微分流形研究中的重要课题，本文定义了反层的概念，给出了反层范畴，由此找到两个微分流形，Cr-微分同胚的特征刻画，于是给出了一种较以往更优的判定法．
|
| 关 键 词： | 微分同胚 微分流形 充要条件 流形 |
| 文章编号： | 1000-341(2000)01-0001-22 |
| 收稿时间： | 1998/10/7 0:00:00 |
A Necessary and Sufficient Condition on Diffeomorphisms |
| |
| Wei-ping LI and YU Yong-xi.A Necessary and Sufficient Condition on Diffeomorphisms[J].Journal of Mathematical Research with Applications,2000,20(1):1-22. |
| |
| Authors: | Wei-ping LI and YU Yong-xi |
| |
| Institution: | Dept of Math.; Oklahoma State University; Stillwater; Oklahoma 74078-0613; U.S.A;Dept. of Math.; Suzhou University; 215006 |
| |
| Abstract: | We introduce anti-sheaves for Cr-manifolds and a category of anti-sheaves. The adjoint equivalence between the category of anti-sheaves and the category of Cr-manifolds is established. Using such an equivalence, we obtain a characterization for deciding whether two given manifolds arc Cr-diffeomorphic in terms of inherent W.(G)- sheaves. This provides the first known criterion for determining whether two given man- ifolds are diffeomorphic. |
| |
| Keywords: | Cr-dffeomorphism adjoint equivalence inherent W G -sheaf |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
