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Results tagged with sg.symplectic-geometry
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user 380
Hamiltonian systems, symplectic flows, classical integrable systems
20
votes
Accepted
look into Delzant Polytope
The standard model of a vertex which satisfies the Delzant condition is the positive "quadrant" $x_i \geq 0$ of $\mathbb{R}^n$ near the origin. In general a polytope is Delzant if and only if every ve …
- 6,247
10
votes
Accepted
Cotangent bundle of a submanifold
It is possible to see the cotangent bundle of the submanifold as a kind of symplectic reduction of the cotangent bundle of the ambient manifold. I think it might be enough to explain the analogous fac …
- 6,247
64
votes
What is a Lagrangian submanifold intuitively?
I want to answer the question "why should I care about Lagrangians" by showing how they arise when you try to answer a very natural question which in some sense lies at the heart of classical mechanic …
- 6,247