Harmonic maps between ideal 2-dimensional simplicial complexes

被引：2
|
作者：
Freidin, Brian [1 ]
Andreu, Victoria Gras [2 ]
机构：
[1] Univ British Columbia, Pacific Inst Math Sci, Vancouver, BC, Canada
[2] Brown Univ, Providence, RI 02912 USA
来源：
GEOMETRIAE DEDICATA | 2020年 / 208卷 / 01期
关键词：
Harmonic maps; Simplicial complexes; Hyperbolic geometry; Teichmuller theory; SINGULAR SPACES;
D O I：
10.1007/s10711-020-00514-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 Teichmuller spaces and some compactifications. This work is a first step in introducing harmonic map theory into the Teichmuller theory of these spaces.
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页码：129 / 155
页数：27
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