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Standard realizations of crystal lattices via harmonic maps |
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| Authors: | Motoko Kotani Toshikazu Sunada |
| Affiliation: | Mathematical Institute, Graduate School of Science, Tôhoku University, Aoba, Sendai 980-8578, Japan ; Mathematical Institute, Graduate School of Sciences, Tôhoku University, Aoba, Sendai 980-8578, Japan |
| Abstract: | An Eells-Sampson type 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: | Crystal lattice harmonic map Albanese map Albanese torus abelian covering weighted graph |
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