Polyhedra as domains of harmonic maps

被引：0
作者：
Fuglede, Bent [1 ]
机构：
[1] Dept Math Sci, DK-2100 Copenhagen, Denmark
来源：
TOPOLOGY AND ITS APPLICATIONS | 2010年 / 157卷 / 05期
关键词：
Admissible polyhedron; Simplicial complex; Pseudomanifold; Normal pseudomanifold; Dimension theory; UPPER BOUNDED CURVATURE; RIEMANNIAN POLYHEDRA; DIRICHLET FORMS; SPACES; MAPPINGS; THEOREM;
D O I：
10.1016/j.topol.2009.11.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Certain more or less known properties of polyhedra in combinatorial topology are established. In particular, the concept of normal pseudomanifolds is extended to so-called admissible polyhedra, whereby branching may occur. Admissible Riemannian polyhedra serve as domains of (generalized) harmonic functions or maps. (C) 2010 Elsevier B.V. All rights reserved.
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页码：815 / 830
页数：16
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