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
DOI:
https://doi.org/10.1090/S0002-9939-1970-0276574-1
MathSciNet review:
0276574
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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.
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R. Abraham, Foundations of mechanics, Benjamin, New York, 1967. MR 36 #3527.
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- John Nash, The imbedding problem for Riemannian manifolds, Ann. of Math. (2) 63 (1956), 20–63. MR 75639, DOI https://doi.org/10.2307/1969989
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Additional Information
Keywords:
Complete vector field,
hamiltonian vector field
Article copyright:
© Copyright 1970
American Mathematical Society