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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On an explicit characterization of spherical curves
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by Yung Chow Wong PDF
Proc. Amer. Math. Soc. 34 (1972), 239-242 Request permission

Erratum: Proc. Amer. Math. Soc. 38 (1973), 668.

Abstract:

It will be proved that the “explicit characterization” of spherical curves recently obtained by S. Breuer and D. Gottlieb (Proc. Amer. Math. Soc. 27 (1971), pp. 126-127) is, without any precondition on the curvature and torsion, a necessary and sufficient condition for a curve to be a spherical curve. The proof is based on an earlier result of the present author on spherical curves (Monatsh. Math. 67 (1963), pp. 363-365).
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 34 (1972), 239-242
  • MSC: Primary 53A05
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0295224-3
  • MathSciNet review: 0295224