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

2007/05/05 by Zhigang Han, Han, Zhigang · 1 citation
Mathematics · #53D99 #57R17 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0705.0762

openalex publication_date 2007/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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