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)



On the completeness of Hamiltonian vector fields

Author: William B. Gordon
Journal: Proc. Amer. Math. Soc. 26 (1970), 329-331
MSC: Primary 34.65; Secondary 53.00
MathSciNet review: 0276574
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Sufficient conditions are given for a hamiltonian vector field to be complete which involve bounds on the potential or its gradient.

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

  • [1] R. Abraham, Foundations of mechanics, Benjamin, New York, 1967. MR 36 #3527.
  • [2] P. Hartman, Ordinary differential equations, Wiley, New York, 1964. MR 30 #1270. MR 0171038 (30:1270)
  • [3] J. Nash, The imbedding problem for Riemannian manifolds, Ann. of Math. (2) 63 (1956), 20-63. MR 17, 782. MR 0075639 (17:782b)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34.65, 53.00

Retrieve articles in all journals with MSC: 34.65, 53.00

Additional Information

Keywords: Complete vector field, hamiltonian vector field
Article copyright: © Copyright 1970 American Mathematical Society

American Mathematical Society