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Transactions of the American Mathematical Society

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A new special form of the linear element of a surface


Author: Jesse Douglas
Journal: Trans. Amer. Math. Soc. 48 (1940), 101-116
MSC: Primary 53.0X
DOI: https://doi.org/10.1090/S0002-9947-1940-0002242-2
MathSciNet review: 0002242
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  • [1] E. Kasner, A characteristic property of isothermal systems of curves, Mathematische Annalen, vol. 59 (1904), pp. 352-354. MR 1511272
  • [2] J. Douglas, A criterion for the conformal equivalence of a Riemann space to a euclidean space, these Transactions, vol. 27 (1925), pp. 299-306. MR 1501314
  • [3] J. Radon, Kurvennetze auf Flächen und im Raume von Riemann, Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität, vol. 5 (1927), pp. 45-53.
  • [4] C. H. Rowe, On certain systems of curves in Riemannian space, Journal de Mathématiques Pures et Appliquées, vol. 12 (1933), pp. 283-308.

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DOI: https://doi.org/10.1090/S0002-9947-1940-0002242-2
Article copyright: © Copyright 1940 American Mathematical Society

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