2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128462The purpose of this note is to study the bounded isometry conjecture proposed by Lalonde and Polterovich. In particular, we show that the conjecture holds for the Kodaira-Thurston manifold with the standard symplectic form and for the 4-torus with all linear symplectic forms.16 pagesSymplectic Geometry53D99; 57R17The bounded isometry conjecture for the Kodaira-Thurston manifold and 4-Torustext