On the generic nonexistence of first integrals

Hurley, Mike

doi:10.1090/S0002-9939-1986-0848891-7

On the generic nonexistence of first integrals
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by Mike Hurley PDF

Proc. Amer. Math. Soc. 98 (1986), 142-144 Request permission

Abstract:

The property of having no ${C^n}$ first integrals other than constants is shown to be generic in ${\operatorname {Diff} ^r}(M)$ for each $r = 1,2, \ldots$, where $n$ is the dimension of $M$.

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