Hopf surfaces with the infinite cyclic fundamental group are said to be primary and their moduli spaces are studied by K. Dabrowski. We extend his results to the moduli spaces for the secondary Hopf surfaces with abelian fundamental groups which are diffeomorphic to $L(p,q) \times S^1$. The punctured disk $D^*$ is the moduli space for the other cases.
"Moduli spaces for secondary Hopf surfaces." Hiroshima Math. J. 40 (1) 37 - 45, March 2010. https://doi.org/10.32917/hmj/1270645081