The bounded isometry conjecture for the Kodaira-Thurston manifold and 4-Torus

Abstract

The 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 pages

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