2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219304Non-canonical equations of motion are derived from a variational principle written in symplectic form. The invariant measure of phase space and the covariant expression for the entropy are derived from non-canonical transformations of coordinates. This shows that the geometry of non-canonical phase space is non trivial even if dynamics has no compressibility.Statistical Mechanicstext