All Questions

Background van Holten's algorithm (see e.g. here and here) is a way of constructing or recognizing dynamical/hidden symmetries in classical mechanics by looking for Killing tensors on the ...

Are there two symplectic structures $\omega_1, \omega_2$ on $M_{2n}(\mathbb{R})$ such that the function $Det:M_{2n}(\mathbb{R})\to \mathbb{R}$ is completely integrable with respect to $\omega_{1}$...

Let us assume someone is interested in the study of Hamiltonian mechanics. What are good examples to illustrate him of the usefulness of contact geometry in this context? On one hand the Hamiltonian ...