5 problems

An asynchronous variational integrator (AVI) has a multisymplectic structure expressed by the multisymplectic form formula … Here $\theta^-$ and $\theta^+$ are the boundary one-for…

Let $({\cal M},\Omega)$ be an arbitrary multisymplectic manifold, let $D^n_m{\cal M}$ denote the decomposable $n$-vectors at $m$, and let ${\cal O}_m\subset D^n_m{\cal M}$ be the s…

Proper-form characterization conjecture. For $1\leq p\leq n$, the set of $p$-forms proper on ${\cal O}_m$ coincides with the standard copolarisation. The claim proposes an intrinsi…

In the de Donder–Weyl formalism, let ${\cal M}^{dDW}_q$ be the submanifold of $\Lambda^nT^*_q{\cal N}$ defined by the constraints $p^{\mu_1\cdots \mu_j}_{i_1\cdots i_j}=0$ for all…

Let $\varpi \in \bigwedge^{k+1}V^*$ be a multisymplectic structure of constant linear type on a smooth manifold. Its associated $G_\varpi$-structure has vanishing structure tensors…