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Add symplectic structures #30362

@tobiasdiez

Description

@tobiasdiez

This ticket implements the basics of symplectic structures,
like Poisson brackets and Hamiltonian vector fields.

TODO (as follow-up tickets):

  • Extract general coordinate stuff from EuclideanSpace
    to new class VectorSpace, and let SymplecticVectorSpace
    derive from VectorSpace

CC: @tscrim @nthiery @mjungmath @egourgoulhon @mkoeppe

Component: manifolds

Author: Tobias Diez

Branch: b78d8a2

Reviewer: Eric Gourgoulhon, Michael Jung, Matthias Koeppe, Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/30362

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