| 完备Riemann流形具有闭的割空间 |
| |
| 引用本文： | 黄保军.完备Riemann流形具有闭的割空间[J].数学学报,1998,41(2):0313-0316. |
| |
| 作者姓名： | 黄保军 |
| |
| 作者单位： | 淮北煤炭师范学院数学系 |
| |
| 摘 要： | 本文证明了完备的Ｒｉｅｍａｎｎ流形即拥有闭的割空间（ｃｕｔｓｐａｃｅ），这一结论不但完满解答了段海豹在［１］中提出的问题１．６，大大地改进了他的主要结果（［１］，定理１．３），而且作为一个推论，我们还得到了经典Ｂｏｒｓｕｋ－Ｕｌａｍ定理的一个进一步推广．
|
| 关 键 词： | 完备Riemann流形，割点（cutpoint），割空间，极小测地线 |
| 收稿时间： | 1996-7-22 |
| 修稿时间： | 1997-10-13 |
Complete Riemannian Manifolds have the Closed Cut Space |
| |
| Huang Baojun.Complete Riemannian Manifolds have the Closed Cut Space[J].Acta Mathematica Sinica,1998,41(2):0313-0316. |
| |
| Authors: | Huang Baojun |
| |
| Abstract: | In this paper we prove that complete Riemannian manifolds have the closed cut space. This result not only answers question 1.6 which is proposed by Duan Haibao in and improves his main result (, theorem 1.3), but also as a consequence the generalization of the classical Borsuk-Ulam theorem is obtained. |
| |
| Keywords: | Complete Riemannian manifolds Cut point Cut space Minimal geodesic |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
