Nonexistence of the Quasi-harmonic Spheres and Harmonic Spheres into Certain Manifold

被引：0

作者：

Gui, Yao Ting ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2022年 / 38卷 / 07期

关键词：

Nonexistence of harmonic spheres; nonexistence of quasi-harmonic spheres; warped product structure; TIME BLOW-UP; HEAT-FLOW; MAPPINGS; MAPS; EXISTENCE;

D O I：

10.1007/s10114-022-1280-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We mainly study the nonexistence of quasi-harmonic spheres and harmonic spheres into spheres of any dimension which omits a neighbourhood of totally geodesic submanifold of co-dimension 2. We will show that such target admits no quasi-harmonic spheres and harmonic spheres.

引用

页码：1271 / 1276

页数：6

共 50 条

[1] Nonexistence of the Quasi-harmonic Spheres and Harmonic Spheres into Certain Manifold
Yao Ting Gui
Acta Mathematica Sinica, English Series, 2022, 38 : 1271 - 1276
[2] Nonexistence of the Quasi-harmonic Spheres and Harmonic Spheres into Certain Manifold
Yao Ting GUI
Acta Mathematica Sinica,English Series, 2022, (07) : 1271 - 1276
[3] A note on the nonexistence of quasi-harmonic spheres
Jiayu Li
Linlin Sun
Calculus of Variations and Partial Differential Equations, 2016, 55
[4] A note on the nonexistence of quasi-harmonic spheres
Li, Jiayu
Sun, Linlin
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (06)
[5] Nonexistence of quasi-harmonic spheres with large energy
Jiayu Li
Yunyan Yang
Manuscripta Mathematica, 2012, 138 : 161 - 169
[6] Nonexistence of quasi-harmonic spheres with large energy
Li, Jiayu
Yang, Yunyan
MANUSCRIPTA MATHEMATICA, 2012, 138 (1-2) : 161 - 169
[7] Harmonic and quasi-harmonic spheres
Lin, FH
Wang, CY
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 1999, 7 (02) : 397 - 429
[8] A remark on the quasi-harmonic spheres
Deliang X.
Chunqin Z.
Applied Mathematics-A Journal of Chinese Universities, 2002, 17 (2) : 164 - 170
[9] Stable quasi-harmonic spheres
Xiaoli Han
Geometriae Dedicata, 2012, 158 : 323 - 327
[10] A REMARK ON THE QUASI-HARMONIC SPHERES
Xu Deliang Zhou ChunqinDeptofAppl.Math.
Applied Mathematics:A Journal of Chinese Universities, 2002, (02) : 164 - 170

← 1 2 3 4 5 →