半欧氏空间之间的无穷调和映射

Infinity Harmonic Maps Between Semi-Euclidean Spaces

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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N il和Sol空间的线性无穷调和映射进行分类. The infinity harmonic maps between semi-Euclidean spaces are discussed. The intinity 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.

作者张嵘

机构地区广西民族大学数学与计算机科学学院

出处《广西科学》 CAS 2007年第3期227-232,235,共7页 Guangxi Sciences

关键词无穷调和映射半欧氏空间直和完全提升 infinity harmonic maps ,semi-Euclidean spaces, direct sum ,complete lift

分类号 O186.12 [理学—基础数学] O189.31 [理学—基础数学]

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共引文献1

1卢卫君,方丽菁.二次调和同态:φ.R_r^3→R_s^2的分类(英文)[J].广西科学,2005,12(4):268-272. 被引量：1

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半欧氏空间之间的无穷调和映射

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