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Undergrad Integrability of the tautological 1-form
Apologies for potentially being imprecise and clunky, but I'm trying understand integrability of the following Hamiltonian $$H(x,p)=\langle p,f(x) \rangle$$ on a 2n dimensional vector space $$T^{\ast}\mathcal{M} =\mathbb{R}^{2n}.$$ Clearly this is just the 1-form $$\theta_{(x,p)} =...- MathNeophyte
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- Frobenius Integrability Symplectic geometry
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- Forum: Differential Geometry