Harmonic maps between ideal 2-dimensional simplicial complexes

被引：0
作者：
Brian Freidin
Victòria Gras Andreu
机构：
[1] University of British Columbia,Pacific Institute for the Mathematical Sciences
[2] Brown University,undefined
来源：
Geometriae Dedicata | 2020年 / 208卷
关键词：
Harmonic maps; Simplicial complexes; Hyperbolic geometry; Teichmuller theory; 53C43;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove existence and regularity results for energy minimizing maps between ideal hyperbolic 2-dimensional simplicial complexes. The spaces in question were introduced by Charitos–Papadopoulos, who describe their Teichmüller spaces and some compactifications. This work is a first step in introducing harmonic map theory into the Teichmüller theory of these spaces.
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页码：129 / 155
页数：26
相关论文
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