On transversely holomorphic flows. II
The paper studies transversely holomorphic one-dimensional orientable foliations on closed connected three-manifolds. Assume that the foliation satisfies \(H^2(M,{\mathcal O})\neq 0\), where \(\mathcal O\) is the sheaf of locally constant functions on leaves and transversely holomorphic. Then, the author shows that the foliation is Riemannian, i.e. there is a holonomy invariant Riemannian metric on the normal bundle. This work and the results of \textit{M. Brunella} [ibid., 265-279 (1996; Zbl 0873.57021); see the review above], implies a complete classification of transversely holomorphic one-dimensional foliations.
scientific article; zbMATH DE number 980765