二次调和同态φ:R3r→R2s的分类

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R3r→R2s的分类.%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 R3r→R2s.