NONDEGENERACY OF HARMONIC MAPS FROM R2 TO S2

被引：4

作者：

Chen, Guoyuan ^{[1
]}

Liu, Yong ^{[2
]}

Wei, Juncheng ^{[3
]}

机构：

[1] Zhejiang Univ Finance & Econ, Sch Data Sci, Hangzhou 310018, Zhejiang, Peoples R China

[2] Univ Sci & Technol China, Sch Math, Hefei, Peoples R China

[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Harmonic maps; nondegeneracy; rational functions; bounded kernels; degree; TOPOLOGY;

D O I：

10.3934/dcds.2019228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that all harmonic maps from R-2 to S-2 with finite energy are nondegenerate. That is, for any harmonic map u from R-2 to S-2 of degree m is an element of Z, all bounded kernel maps of the linearized operator L-u at u are generated by those harmonic maps near u and hence the real dimension of bounded kernel space of L-u is 4 vertical bar m vertical bar + 2.

引用

页码：3215 / 3233

页数：19

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