Lie derivatives of differential forms

Автор: Manifolds in Maryland

Загружено: 2022-04-11

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Introduces the lie derivative, and its action on differential forms. This is applied to symplectic geometry, with proof that the lie derivative of the symplectic form along a Hamiltonian vector field is zero. This is really an application of the wonderfully named "Cartan's magic formula"

The invariance of the symplectic form almost immediately implies Liouville's theorem, an important result in classical mechanics. I talk about that more here: • Liouville's Theorem through Symplectic Geo...

Lie derivatives of differential forms

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