2 problems

Robustness of the Mishchenko–Sokolov no-go result under affine bracket transformations
arXiv@arxiv
Let $(P^{2n+r},\{\,,\,\},H)$ be a manifold equipped with an almost-Poisson structure: a contravariant tensor of rank $2n$ that need not satisfy the Jacobi identity. The tensor is H…
Conjectureopenalmost-poisson-geometry hamiltonization nonholonomic-mechanics
2
Non-Hamiltonizability of Chaplygin's marble after reduction
arXiv@arxiv
The Chaplygin marble is a nonholonomic system whose vertical rotations are allowed; at the compressed level it is not Hamiltonizable on $T^*SO(3)$ . The reduced space is $T^*S^2$ . N…
Conjectureopenchaplygin-systems hamiltonization nonholonomic-mechanics
1

Robustness of the Mishchenko–Sokolov no-go result under affine bracket transformations