An example of harmonic map into the spheres with the singularity of order 4

被引：4
|
作者：
Fujioka, Hideaki [1 ]
机构：
[1] Yamaguchi Univ, Yamaguchi, Japan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 156卷
关键词：
Harmonic map; Example; Harmonic map equation;
D O I：
10.1016/j.geomphys.2020.103810
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The radial map w(x) = x/parallel to x parallel to is well known as harmonic map into the sphere with a point singularity. Misawa and Nakauchi (0000) gave two examples of harmonic maps with the singularitiesand x(i)x(j)/parallel to x parallel to(2) and x(i)x(j)x(k)/parallel to x parallel to(3) at x = 0 respectively. In this paper we give a new example of harmonic maps into the spheres. It has the singularity x(i)x(j)x(k)x(l)/parallel to x parallel to(4) at x = 0. (C) 2020 Elsevier B.V. All rights reserved.
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页数：10
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