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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Standard realizations of crystal lattices via harmonic maps
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by Motoko Kotani and Toshikazu Sunada
Trans. Amer. Math. Soc. 353 (2001), 1-20
DOI: https://doi.org/10.1090/S0002-9947-00-02632-5
Published electronically: August 8, 2000
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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.
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Bibliographic Information
  • Motoko Kotani
  • Affiliation: Mathematical Institute, Graduate School of Science, Tôhoku University, Aoba, Sendai 980-8578, Japan
  • Email: kotani@math.tohoku.ac.jp
  • Toshikazu Sunada
  • Affiliation: Mathematical Institute, Graduate School of Sciences, Tôhoku University, Aoba, Sendai 980-8578, Japan
  • MR Author ID: 168895
  • Email: sunada@math.tohoku.ac.jp
  • Received by editor(s): March 8, 1999
  • Published electronically: August 8, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 1-20
  • MSC (2000): Primary 58E20, 58E11, 58E30; Secondary 82B99
  • DOI: https://doi.org/10.1090/S0002-9947-00-02632-5
  • MathSciNet review: 1783793