Two examples of harmonic maps into spheres-Reference-Cited by-同舟云学术

Two examples of harmonic maps into spheres

Published:2022-01-01 Issue:1 Volume:22 Page:23-31
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Misawa Masashi¹,Nakauchi Nobumitsu²

Affiliation:

1. Department of Mathematics, Faculty of Advanced Science and Technology, Kumamoto University , 2-39-1 Kurokami , Kumamoto , Japan

2. Graduate School of Sciences and Technology for Innovation, Yamaguchi University , Yamaguchi , Japan

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2021-0008/pdf

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