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.

引用

页码：129 / 155

页数：27

共 49 条

[1] Harmonic maps between ideal 2-dimensional simplicial complexes
Brian Freidin
Victòria Gras Andreu
Geometriae Dedicata, 2020, 208 : 129 - 155
[2] Harmonic maps between 2-dimensional simplicial complexes: conformal and singular metrics
Freidin, Brian
Andreu, Victoria Gras
GEOMETRIAE DEDICATA, 2024, 218 (01)
[3] Harmonic maps between 2-dimensional simplicial complexes: conformal and singular metrics
Brian Freidin
Victòria Gras Andreu
Geometriae Dedicata, 2024, 218
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[8] Harmonic Maps Between Alexandrov Spaces
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