| 摘要: |
| 研究半欧氏空间之间的无穷调和映射,给出半欧氏空间之间的映射是无穷调和映射的方程式及一些构造无穷调和映射的方法,并对半欧氏空间到Nil和Sol空间的线性无穷调和映射进行分类. |
| 关键词: 无穷调和映射 半欧氏空间 直和 完全提升 |
| DOI： |
| 投稿时间：2006-12-11修订日期：2007-03-07 |
| 基金项目: |
|
| Infinity Harmonic Maps Between Semi-Euclidean Spaces |
|
ZHANG Rong1,2
|
| (1.College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China;2.Department of Mathematics, Lincang Teacher's College, Lincang, Yunnan, 677000, China) |
| Abstract: |
| The infinity harmonic maps between semi-Euclidean spaces are discussed.The infinity harmonic map equations for maps between Semi-Euclidean spaces and several methods to construct infinity harmonic maps including direct sum and complete lift constructions are derived.The linear infinity harmonic maps from a semi-Euclidean space into Sol and Nil spaces is classified. |
| Key words: infinity harmonic maps semi-Euclidean spaces direct sum complete lift |
