| 摘要: |
| 在给出半定欧氏空间之间二次调和同态的结构方程之后,通过对结构方程的系数矩阵的分析及特殊坐标系的运用,推广Ou-Wood关于欧氏空间之间二次调和同态的结果,获得二次调和同态Rr3→Rs2的分类. |
| 关键词: 半欧氏空间Rrm 调和同态 二次调和同态 |
| DOI： |
| 投稿时间：2005-08-10 |
| 基金项目:Supported by Guangxi Natural Science Fund (GNSF0007015) and Guangxi University for Nationalities Science Fund. |
|
| A Classification of Quadratic Harmonic Morphisms Between Semi-Euclidean Spaces Rr3→Rs2 |
|
Lu Weijun, Fang Lijing
|
| (College of Computer and Information Science, Guangxi Univ. for Nationalities, Nanning, Guangxi, 530006, China) |
| Abstract: |
| In this paper,we study quadratic harmonic morphisms between semi-Euclidean spaces.We give a structure equation of such morphisms using their coefficient matrices analysis and special coordinates generalizing the results of Ou-Wood on quadratic harmonic morphisms between Euclidean spaces.As an application,we obtain a classification of quadratic harmonic morphisms Rr3→Rs2. |
| Key words: semi-Euclidean spaces Rrm harmonic morphisms quadratic harmonic morphisms. |
