2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74455We study the cohomological pressure introduced by R.Sharp (defined by using topological pressures of certain potentials of Anosov flows). In particular, we get the rigidity in the case that this pressure coincides with the metrical entropy, generalising related rigidity results of A.Katok and P. Foulon.This article is sumitted to Mathematische AnnalenDynamical Systems37D20, 37D35, 37D40text