Standard realizations of crystal lattices via harmonic maps

Motoko Kotani; Toshikazu Sunada

doi:10.1090/s0002-9947-00-02632-5

Standard realizations of crystal lattices via harmonic maps

Motoko Kotani, Toshikazu Sunada

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Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

An Eclls-Sampson typo theorem for harmonic maps from a finite weighted graph is employed to characterize the equilibrium configurations of crystals. It is thus observed that the mimimum principle frames symmetry of crystals.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Transactions of the American Mathematical Society
Volume	353
Issue number	1
DOIs	https://doi.org/10.1090/s0002-9947-00-02632-5
Publication status	Published - 2001

Keywords

Abelian covering
Albancsc map
Albancsc torus
Crystal lattice
Harmonic map
Weighted graph

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/s0002-9947-00-02632-5

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title = "Standard realizations of crystal lattices via harmonic maps",

abstract = "An Eclls-Sampson typo theorem for harmonic maps from a finite weighted graph is employed to characterize the equilibrium configurations of crystals. It is thus observed that the mimimum principle frames symmetry of crystals.",

keywords = "Abelian covering, Albancsc map, Albancsc torus, Crystal lattice, Harmonic map, Weighted graph",

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AU - Kotani, Motoko

AU - Sunada, Toshikazu

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KW - Abelian covering

KW - Albancsc map

KW - Albancsc torus

KW - Crystal lattice

KW - Harmonic map

KW - Weighted graph

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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ER -

Standard realizations of crystal lattices via harmonic maps

Abstract

Keywords

ASJC Scopus subject areas

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