Surfaces of class $\mathrm{VII}_0$ and affine geometry

This paper gives a complete and detailed proof of the theorem to the effect that the only surfaces of class $\mathrm{VII}_0$ with $b_2=0$ are the Inoue–Kodaira surfaces. Besides that, it contains several results on manifolds with affine structures whose holonomy groups are commutative; in particular, the general case is reduced to the case when the holonomy group is diagonal.
Bibliography: 16 titles.