Cairns, Grant; Ghys, Etienne Totally geodesic foliations on 4-manifolds. (English) Zbl 0601.53027 J. Differ. Geom. 23, 241-254 (1986). The authors describe in detail 2-dimensional totally geodesic foliations of compact Riemannian 4-manifolds. The complete classification of these foliations in the case of a simply connected manifold is obtained. Reviewer: A.Piatkowski Cited in 3 ReviewsCited in 8 Documents MSC: 53C12 Foliations (differential geometric aspects) Keywords:totally geodesic foliations; simply connected manifold PDFBibTeX XMLCite \textit{G. Cairns} and \textit{E. Ghys}, J. Differ. Geom. 23, 241--254 (1986; Zbl 0601.53027) Full Text: DOI