Harmonic maps near the identity of Sn

被引：1

作者：

Chow, Bennett ^{[1
]}

Lu, Peng ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2015年 / 42卷

关键词：

Harmonic map; Isometry; Identity map on round sphere;

D O I：

10.1016/j.difgeo.2015.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this expository note we discuss how to apply the inverse function theorem to prove the folklore result that on the unit n-sphere for n >= 3 any harmonic self-map near the identity must be an isometry. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：31 / 36

页数：6