Exponentially harmonic maps and their properties

被引：9

作者：

Chiang, Yuan-Jen ^{[1
]}

机构：

[1] Univ Mary Washington, Dept Math, Fredericksburg, VA 22401 USA

来源：

MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 17-18期

关键词：

Exponential energy; exponential tension field; exponentially harmonic map; VARIATION FORMULA; MAPPINGS; SURFACES;

D O I：

10.1002/mana.201400248

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the associated quadratic differentials of exponentially harmonic maps are holomorphic under certain circumstance. We study the sufficient and necessary conditions for axially symmetric maps which are exponentially harmonic. We investigate exponentially harmonic equations for rotationally symmetric maps between rotationally symmetric manifolds of low dimensions. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1970 / 1980

页数：11

共 20 条

[1] [Anonymous], FRONTIERS MATH
[2] The second variation formula for exponentially harmonic maps
Cheung, LF
Leung, PF
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1999, 59 (03) : 509 - 514
[3] Exponential wave maps
Chiang, Yuan-Jen
Yang, Yi-Hu
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2007, 57 (12) : 2521 - 2532
[4] Transversal wave maps and transversal exponential wave maps
Chiang Y.-J.
Wolak R.A.
[J]. Journal of Geometry, 2013, 104 (3) : 443 - 459
[5] [江苑珍 Chiang Yuanjen], 2015, [数学学报, Acta Mathematica Sinica], V58, P131
[6] DUC DM, 1991, INT J MATH, V2, P395, DOI DOI 10.1142/S0129167X91000223
[7] HARMONIC MAPPINGS OF RIEMANNIAN MANIFOLDS
EELLS, J
SAMPSON, JH
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1964, 86 (01) : 109 - &
[8] RESTRICTIONS ON HARMONIC MAPS OF SURFACES
EELLS, J
WOOD, JC
[J]. TOPOLOGY, 1976, 15 (03) : 263 - 266
[9] EELLS J, 1992, BANACH CTR PUBL, V0027, P00129
[10] GULLIVER RD, 1973, AM J MATH, V95, P750

← 1 2 →