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Results tagged with sg.symplectic-geometry
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user 143888
Hamiltonian systems, symplectic flows, classical integrable systems
3
votes
1
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196
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Any homogeneous symplectomorphism of cotangent bundle $\dot{T}^*M=T^*M-0_M$ preserves the ca...
Let $\phi$ be a homogeneous symplectomorphism of tangent bundle $\dot{T}^*M=T^*M-0_M$ and let $\alpha_M$ be the canonical Liouville 1-form of $\dot{T}^*M$. Then is it true that $\phi^*\alpha_M=\alpha_ …
- 213
1
vote
1
answer
326
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Is a homogeneous symplectic isotopy always Hamiltonian?
The following statements are written in the Guillermou-Kashiwara-Shapira's paper "Sheaf quantization of Hamiltonian isotopies and applications to non-displaceability".
Let $M$ be a smooth manifold an …
- 213
1
vote
0
answers
78
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Lifting of Contact isotopies on a symplectization
Let $\mathbb{R}^{2n}\times\mathbb{R}=\mathbb{R}^n\times\mathbb{R}^n\times\mathbb{R}=\{(q,p,z)|{q},{p}\in\mathbb{R}^n,z\in\mathbb{R}\}$ be a contact manifold with the standard contact form $\alpha=pdq+ …
- 213