A topological property of integrable systems

Paiva, JCA
(2000) Proceedings of the American Mathematical Society — Vol. 128, n° 8, p. 2507-2508 (2000)

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  • Paiva, JCA
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Abstract
If we are given n real-valued smooth functions on R-2n which are in involution, then, under some mild hypotheses, the subset of R-2n where these functions are linearly independent is not simply connected.
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Paiva, J. (2000). A topological property of integrable systems. Proceedings of the American Mathematical Society, 128(8), 2507-2508. https://doi.org/10.1090/S0002-9939-00-05783-X (Original work published 2000)