HARMONIC MAPS FROM Cn TO KAHLER MANIFOLDS

被引：0

作者：

Wan, Jianming ^{[1
]}

机构：

[1] NW Univ Xian, Dept Math, Xian 710127, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2015年 / 275卷 / 01期

基金：

中国国家自然科学基金;

关键词：

harmonic maps; holomorphic maps;

D O I：

10.2140/pjm.2015.275.183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a harmonic map from C-n (n >= 2) to any Kahler manifold must be holomorphic under an assumption on energy density. This can be considered as a complex analogue of the Liouville-type theorem for harmonic maps obtained by Sealey.

引用

页码：183 / 189

页数：7

共 50 条

[1] NONHOLOMORPHIC HARMONIC MORPHISMS FROM KAHLER-MANIFOLDS
GUDMUNDSSON, S
MANUSCRIPTA MATHEMATICA, 1994, 85 (01) : 67 - 78
[2] Biharmonic holomorphic maps into Kahler manifolds
Han, Deliang
JOURNAL OF GEOMETRY AND PHYSICS, 2017, 119 : 9 - 18
[3] On harmonic maps from stochastically complete manifolds
Alireza Ranjbar-Motlagh
Archiv der Mathematik, 2009, 92 : 637 - 644
[4] Harmonic maps with potential from complete manifolds
CHEN Qun Mathematics Department
Institute of Mathematics
ChineseScienceBulletin, 1998, (21) : 1780 - 1786
[5] Harmonic maps with potential from complete manifolds
Chen, Q
CHINESE SCIENCE BULLETIN, 1998, 43 (21): : 1780 - 1786
[6] On harmonic maps from stochastically complete manifolds
Ranjbar-Motlagh, Alireza
ARCHIV DER MATHEMATIK, 2009, 92 (06) : 637 - 644
[7] Harmonic maps and cosymplectic manifolds
Boeckx, E
Gherghe, C
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 76 : 75 - 92
[8] On weakly harmonic maps from Finsler to Riemannian manifolds
von der Mosel, Heiko
Winklmann, Sven
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (01): : 39 - 57
[9] The rigidity theorem for harmonic maps from Berwald manifolds
Li, Jintang
Zhang, Jianfeng
MATHEMATISCHE NACHRICHTEN, 2015, 288 (11-12) : 1394 - 1404
[10] A NOTE ON HARMONIC MAPS OF STATISTICAL MANIFOLDS
Simsir, Fatma Muazzez
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1370 - 1376

← 1 2 3 4 5 →