Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

A remark concerning a mechanical characterization of the sphere


Author: Paris Pamfilos
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] F. Noether, Ueber die rollende Bewegung einer Kugel auf Rotationsflächen, Dissertation, München, 1909.
  • [2] J. I. Neimark and N. A. Fufaev, Dynamics of nonholonomic systems, Transl. Math. Monos., vol. 33, Amer. Math. Soc., Providence, R.I., 1972.
  • [3] Barrett O’Neill, Elementary differential geometry, Academic Press, New York-London, 1966. MR 0203595

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53A17, 53A05

Retrieve articles in all journals with MSC: 53A17, 53A05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0826496-1
Article copyright: © Copyright 1986 American Mathematical Society