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Proceedings of the American Mathematical Society

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On an explicit characterization of spherical curves


Author: Yung Chow Wong
Journal: Proc. Amer. Math. Soc. 34 (1972), 239-242
MSC: Primary 53A05
DOI: https://doi.org/10.1090/S0002-9939-1972-0295224-3
Erratum: Proc. Amer. Math. Soc. 38 (1973), 668.
MathSciNet review: 0295224
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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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DOI: https://doi.org/10.1090/S0002-9939-1972-0295224-3
Keywords: Spherical curve, curvature, torsion, nowhere zero
Article copyright: © Copyright 1972 American Mathematical Society