Ghys, Étienne On transversely holomorphic flows. II. (English) Zbl 0873.57022 Invent. Math. 126, No. 2, 281-286 (1996). 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 M. Brunella [ibid., 265-279 (1996; Zbl 0873.57021); see the review above], implies a complete classification of transversely holomorphic one-dimensional foliations. Reviewer: J.Muciño-Raymundo (Morelia) Cited in 1 ReviewCited in 12 Documents MSC: 57R30 Foliations in differential topology; geometric theory Keywords:3-manifolds; holomorphic; foliations Citations:Zbl 0873.57021 PDFBibTeX XMLCite \textit{É. Ghys}, Invent. Math. 126, No. 2, 281--286 (1996; Zbl 0873.57022) Full Text: DOI