2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156649For a diffeomorphism which preserves a hyperbolic measure the potential $ϕ^u=-\log|{\rm Jac} df|_{E^u}|$ is studied. Various types of pressure of $ϕ^u$ are introduced. It is shown that these pressures satisfy a corresponding variational principle.Accepted for publication in Mathematische NachrichtenDynamical SystemsProbability37D25, 37D35, 28D20Equality of pressures for diffeomorphisms preserving hyperbolic measurestext