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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Completeness of Hamiltonian vector fields

Author: David G. Ebin
Journal: Proc. Amer. Math. Soc. 26 (1970), 632-634
MSC: Primary 57.55; Secondary 34.00
MathSciNet review: 0278340
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Abstract: We prove that under certain conditions the flow of a Hamiltonian vector field on a possibly infinite-dimensional dynamical system exists for all time.

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PII: S 0002-9939(1970)0278340-X
Keywords: Hamiltonian vector field, Hilbert manifold, Riemannian structure, symplectic two-form, vertical subspace, horizontal subspace, spray, complete metric
Article copyright: © Copyright 1970 American Mathematical Society