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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A remark concerning a mechanical characterization of the sphere
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by Paris Pamfilos PDF
Proc. Amer. Math. Soc. 96 (1986), 648-650 Request permission

Abstract:

It is shown that if a (sufficiently) small ball rolls freely without sliding on a compact surface in such a way that its center moves with constant in magnitude velocity for every initial condition, then the surface must be a sphere.
References
    F. Noether, Ueber die rollende Bewegung einer Kugel auf Rotationsflächen, Dissertation, München, 1909. J. I. Neimark and N. A. Fufaev, Dynamics of nonholonomic systems, Transl. Math. Monos., vol. 33, Amer. Math. Soc., Providence, R.I., 1972.
  • Barrett O’Neill, Elementary differential geometry, Academic Press, New York-London, 1966. MR 0203595
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 648-650
  • MSC: Primary 53A17; Secondary 53A05
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0826496-1
  • MathSciNet review: 826496