Compact symplectic manifolds of low cohomogeneity (corrected version)

TL;DR

This paper corrects and completes the classification of low cohomogeneity compact symplectic manifolds by adding previously missing cases, refining the understanding of their geometric structure.

Contribution

It provides a corrected and extended classification theorem for compact symplectic manifolds of low cohomogeneity, including new cases previously omitted.

Findings

Added missing cases to the classification theorem

Included new examples: $SO(n+1)$-manifold, $CP^2$, and $CP^1 imes CP^1$

Refined the understanding of symplectic manifolds of low cohomogeneity

Abstract

This is a corrected version of my paper published in Journal of Geometry and Physics 25(1998), 205-226. I added missing cases to the classification theorem 1.1, namely the $SO(n+1)$-manifold $SO(n +2)/ (SO (n) \times SO(2))$, the $SO(3)$-manifold $C P^2$ and the $SU(3)$-manifold $C P^1 \times C P^1$.