5 problems

The variational bicomplex is considered on jet bundles, where vertical tensors arise from a choice of symmetric linear connection and can define infinitesimal nonholonomic projecti…

General-dimensional fundamental Lepage form conjecture. This kind of generalization of the fundamental form using order reducibility should be possible for a general dimension of t…

Let $\pi\colon Y\longrightarrow X$ be a fibered manifold with $\dim X=n$ and $\dim Y=n+m$, and let $\lambda$ be a first-order Lagrangian on $J^1Y$. Write $p_k$ for the projection o…

Non-holonomous polynomial construction conjecture. The construction

Higher-jet transversality codimension conjecture. The set $\tilde A$ is a countable union of smooth submanifolds of codimension more than $n=\dim X$ in $J^{p+1}(X,Y)$.