Polyhedra as domains of harmonic maps

Bent Fuglede

doi:10.1016/j.topol.2009.11.008

Polyhedra as domains of harmonic maps

Department of Mathematical Sciences

Abstract

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.

Original language	English
Journal	Topology and Its Applications
Volume	157
Issue number	5
Pages (from-to)	815-830
ISSN	0166-8641
DOIs	https://doi.org/10.1016/j.topol.2009.11.008
Publication status	Published - 1 Apr 2010

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10.1016/j.topol.2009.11.008

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abstract = "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.",

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AB - 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.

U2 - 10.1016/j.topol.2009.11.008

DO - 10.1016/j.topol.2009.11.008

M3 - Journal article

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VL - 157

SP - 815

EP - 830

JO - Topology and its Applications

JF - Topology and its Applications

IS - 5

ER -

Polyhedra as domains of harmonic maps

Abstract

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