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Results tagged with sg.symplectic-geometry
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user 69763
Hamiltonian systems, symplectic flows, classical integrable systems
7
votes
2
answers
2k
views
Momentum a cotangent vector
Apparently one identifies the configuration space in physics often with a manifold $M$. The tangent bundle $TM$ is then the space of all possible positions and velocities.
Furthermore, many sources s …
- 231
0
votes
1
answer
295
views
Lagrangian flow preserves symplectic form
Let $X$ be a configuration space and $L: TX \rightarrow \mathbb{R}$ a Lagrangian. Then I want to show that the Lagrangian flow $F^t(x(0),x'(0)) = (x(t),x'(t))$ preserves the symplectic form just like …
- 231