Two examples of harmonic maps into spheres

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2022-01-01 DOI:10.1515/advgeom-2021-0008

M. Misawa, Nobumitsu Nakauchi

引用次数: 3

Abstract

Abstract The radial map w(x) = x ‖x‖−1 is a well-known example of harmonic maps and p-harmonic ones into spheres with a point singularity. In this paper we give two examples of harmonic maps and p-harmonic ones into spheres of higher dimensions with the singularity xixj ‖x‖−2 or the singularity xixjxk ‖x‖−3.

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调和映射到球体的两个例子

径向映射w(x) = x‖x‖−1是具有点奇点的球面调和映射和p调和映射的一个著名的例子。本文给出了具有奇点xixj‖x‖−2或奇点xixjxk‖x‖−3的高维球面调和映射和p调和映射的两个例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.