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.
CITATION STYLE
Kotani, M., & Sunada, T. (2000). Standard realizations of crystal lattices via harmonic maps. Transactions of the American Mathematical Society, 353(1), 1–20. https://doi.org/10.1090/s0002-9947-00-02632-5
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