[1]郭辉,崔泽建.Teichmuller映射与调和映射[J].深圳大学学报理工版,2005,22(3):236-239.
 GUO Hui,CUI Ze-jian.Teichmuller mappings and harmonic maps[J].Journal of Shenzhen University Science and Engineering,2005,22(3):236-239.
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Teichmuller映射与调和映射()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第22卷
期数:
2005年3期
页码:
236-239
栏目:
物理
出版日期:
2005-07-30

文章信息/Info

Title:
Teichmuller mappings and harmonic maps
文章编号:
1000-2618(2005)03-0236-04
作者:
郭辉1崔泽建2
1)深圳大学师范学院,深圳518060
2)西华师范大学数学与信息学院,南充637002
Author(s):
GUO Hui1 CUI Ze-jian2
1)Normal College Shenzhen University Shenzhen 518060 P. R. China
2)School of Mathematics and Information China West Normal University Nanchong 637002 P. R. China
关键词:
Teichmuller映射极大伸缩商调和映射Teichmuller度量全纯二次微分
Keywords:
Teichmuller mappingmaximal dilatationharmonic mapsTeichmuller metricholomorphic quadratic differentials
分类号:
O 174. 5
文献标志码:
A
摘要:
讨论亏格为g( > 1)的紧Riemann曲面间映射的同伦类中,Teichmuller映射的伸缩商与调和映射的能量间的关系. 作为其应用,建立起Tg中的Teichmuller度量与(M,σ/dz/2 )上的全纯二次微分空间QD(σ)中的范数之间的联系.
Abstract:
The relationship between the Teichmuller mapping dilatation and the harmonic map total energy was considered, where the two maps were in the same homotopic class of maps between two compact Riemann surfaces of genus g(>1). As an application of this,the relationship between the Teichmuller metric in TR and the norm in the space QD(σ)of holomorphic quadratic differentials on(M,σ/dz/2 )is obtained.
更新日期/Last Update: 2015-10-16