| HARMONIC MAPS AND FUNDAMENTAL GROUPS OF NONPOSITIVELY CURVEDRIEMANNIAN MANIFOLDS |
| |
| 作者姓名： | Shen Chunli Zhou Qing |
| |
| 作者单位： | SHEN CHUNLI * ZHOU QING * Department of Mathematics，East China Normal University，Shanghai 200062，China. |
| |
| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina ,FEYUTofChinaandHYTEF |
| |
| 摘 要： | Ｔｈｅｔｈｅｏｒｙｏｆｈａｒｍｏｎｉｃｍａｐｓｉｎｔｏａｃｏｍｐａｃｔｎｏｎｐｏｓｉｔｉｖｅｌｙｃｕｒｖｅｄｔａｒｇｅｔｉｓｗｅｌｌ-ｄｅｖｅｌｏｐｅｄ.ＴｈｅｅｘｉｓｔｅｎｃｅｏｆｓｕｃｈａｈａｒｍｏｎｉｃｍａｐｐｉｎｇｉｎａｎｙｇｉｖｅｎｈｏｍｏｔｏｐｙｃｌａｓｓｉｓｅｓｔａｂｌｉｓｈｅｄｂｙＥｅｌｌｓａｎｄＳａｍｐｓｏｎ1]ｉｎ1964,ａｎｄｌａｔｅｒ,ｉｎ1967,Ｈａｒｔｍａｎ2]ｇａｖｅａｐｒｏｏｆｏｆｔｈｅｕｎｉｑｕｅｎｅｓｓ.Ｔｈｉｓｐａｐｅｒｉｓｄｅｖｏｔｅｄｔｏａｎａｐｐｌｉｃａｔｉｏｎｏ…
|
| 关 键 词： | 调和映射 基本群 黎曼流形 非正曲线 |
| 收稿时间： | 1994/1/17 0:00:00 |
| 修稿时间： | 1995/4/13 0:00:00 |
HARMONIC MAPS AND FUNDAMENTAL GROUPS OF NONPOSITIVELY CURVED
RIEMANNIAN MANIFOLDS |
| |
| Shen Chunli,Zhou Qing.HARMONIC MAPS AND FUNDAMENTAL GROUPS OF NONPOSITIVELY CURVEDRIEMANNIAN MANIFOLDS[J].Chinese Annals of Mathematics,Series B,1996,17(4):491-496. |
| |
| Authors: | Shen Chunli and Zhou Qing |
| |
| Institution: | DepartmentofMathematics,EastChinaNormalUniversity,Shanghai200062,China |
| |
| Abstract: | Using the theory of harmonic maps the authors discuss theproperties of the fundamental group of a complete nonpositivelycurved Riemannian manifold, and prove that the finitely generatedvirtual solvable subgroup of fundamental group of a completenonpositively curved Riemannian manifold either is a peripheralsubgroup of fundamental group or can be realized by animmersed totall geodesic closed flat manifold. It generalizessome results of Gromoll-Wolf, Lawson-Yan and Schoen-Yau. |
| |
| Keywords: | Harmonic map Riemannian manifold Fundamental group |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
