| 摘要: |
| 研究半欧氏空间Rrm→Rsn之间的调和同态。推广了欧业林构造欧氏空间之间调和同态的方法,得出半欧氏空间之间2个相应的定理。同时,给出半欧氏空间之间二次调和同态的一些有趣的例子。 |
| 关键词: 半黎曼流形 调和映射 调和同态 |
| DOI： |
| 投稿时间：2001-04-11修订日期：2001-07-31 |
| 基金项目:Supported by Guangxi Natural Science Fund (GNSF0007015) and Guangxi University for Nationalities Science Fund. |
|
| On Some Results of Harmonic Morphisms between Semi-Euclidean Spaces |
|
Lu Weijun
|
| (Dept of Math., Guangxi University for Nationalities, Xixiangtang, Nanning, Guangxi, 530006, China) |
| Abstract: |
| Harmonic morphisms between semi-Euclidean spaces Rrm→Rsn is studied. Two theorems are given to construct harmonic morphisms between semi-Euclidean spaces in two ways, and Ou Yielin's corresponding results are generalized Some interesting examples of quadratic harmonic morphisms between semi-Euclidean spaces are presented. |
| Key words: semi-Riemanian manifolds harmonic maps harmonic morphisms |
