We describe all Euler like operators 𝐶, i.e. natural operators transforming tuples (λ, 𝑔) of Lagrangians λ: J s Y→ ∧ m T ∗ M on a fibred manifold 𝑌 → 𝑀 and functions 𝑔 : 𝑌 → 𝐑 into Euler maps C ...

We derive a new variational principle, leading to a new momentum map and a new multisymplectic formulation for a family of Euler–Poincaré equations defined on the Virasoro–Bott group, by using the ...