A family of examples of harmonic maps into the sphere with one point singularity

The radial map u(x)=x‖x‖is a well-known example of a harmonic map into the spheres with a point singularity at x=0. In our previous paper (Misawa and Nakauchi, 2022) we give two examples of harmonic maps into the standard spheres of higher dimension with a singularity of a polynomial of x1‖x‖,⋯xm‖x‖...

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Bibliographic Details
Main Author: Nobumitsu Nakauchi
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Examples and Counterexamples
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666657X23000095