Forum Mathematicum ( IF 0.733 ) Pub Date : 2020-11-18 , DOI: 10.1515/forum-2020-0262
Yang Su; Jianqiang Yang

In this paper we study smooth orientation-preserving free actions of the cyclic group $ℤ/m$ on a class of $(n-1)$-connected $2⁢n$-manifolds, $♯⁡♯⁡g⁢(Sn×Sn)Σ$, where Σ is a homotopy $2⁢n$-sphere. When $n=2$, we obtain a classification up to topological conjugation. When $n=3$, we obtain a classification up to smooth conjugation. When $n≥4$, we obtain a classification up to smooth conjugation when the prime factors of m are larger than a constant $C⁢(n)$.

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