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

[41] Energy identity for harmonic maps into standard stationary Lorentzian manifolds
Han, Xiaoli
Zhao, Liang
Zhu, Miaomiao
JOURNAL OF GEOMETRY AND PHYSICS, 2017, 114 : 621 - 630
[42] F-Harmonic Maps between DoublyWarped Product Manifolds
Torbaghan, Seyed Mehdi Kazemi
Rezaii, Morteza Mirmohammad
MATHEMATICS, 2017, 5 (02):
[43] Equi-harmonic maps and Plucker formulae for horizontal-holomorphic curves on flag manifolds
Grama, Lino
Negreiros, Caio J. C.
San Martin, Luiz A. B.
ANNALI DI MATEMATICA PURA ED APPLICATA, 2014, 193 (04) : 1089 - 1102
[44] Harmonic maps and the topology of manifolds with positive spectrum and stable minimal hypersurfaces
Wang, Qiaoling
PUBLICACIONS MATEMATIQUES, 2006, 50 (02) : 301 - 313
[45] Equi-harmonic maps and Plücker formulae for horizontal-holomorphic curves on flag manifolds
Lino Grama
Caio J. C. Negreiros
Luiz A. B. San Martin
Annali di Matematica Pura ed Applicata (1923 -), 2014, 193 : 1089 - 1102
[46] On Pluricanonical Locally Conformally Kahler Manifolds
Moroianu, Andrei
Moroianu, Sergiu
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017, 2017 (14) : 4398 - 4405
[47] Harmonic and biharmonic maps from surfaces
Baird, P.
Loubeau, E.
Oniciuc, C.
HARMONIC MAPS AND DIFFERENTIAL GEOMETRY, 2011, 542 : 223 - 230
[48] RELATIVE ENERGY GAP FOR HARMONIC MAPS OF RIEMANN SURFACES INTO REAL ANALYTIC RIEMANNIAN MANIFOLDS
Feehan, Paul M. N.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (07) : 3179 - 3190
[49] Kahler manifolds with real holomorphic vector fields
Munteanu, Ovidiu
Wang, Jiaping
MATHEMATISCHE ANNALEN, 2015, 363 (3-4) : 893 - 911
[50] Harmonic maps
Grafarend, EW
JOURNAL OF GEODESY, 2005, 78 (10) : 594 - 615

← 1 2 3 4 5 →