Polyhedra as domains of harmonic maps

Bent Fuglede

doi:10.1016/j.topol.2009.11.008

Polyhedra as domains of harmonic maps

Institut for Matematiske Fag

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.

Originalsprog	Engelsk
Tidsskrift	Topology and Its Applications
Vol/bind	157
Udgave nummer	5
Sider (fra-til)	815-830
ISSN	0166-8641
DOI	https://doi.org/10.1016/j.topol.2009.11.008
Status	Udgivet - 1 apr. 2010

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10.1016/j.topol.2009.11.008

Citationsformater

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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.

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DO - 10.1016/j.topol.2009.11.008

M3 - Journal article

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SP - 815

EP - 830

JO - Topology and its Applications

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Polyhedra as domains of harmonic maps

Abstract

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