References
Evans, B., Moser, L.: Solvable fundamental groups of compact 3-manifolds. Trans. Amer. Mt. Soc. pp. 189–210 (1972)
Haefliger, A.: Varietés feulletés. Ann. Scuola Norm. Pisa16, 367–397 (1962)
Kopell, N.: Computing diffeomorphisms. Proc. Symp. Pure Math. XIV, A.M.S. pp. 165–184 (1970)
Milnor, J.: An note on curvature and the fundamental group. J. Diff. Geom. pp. 1–7 (1968)
Moussu, R.: Sur les feuilletages de codimension un. Thesis, University of Paris (1971)
Moussu, R., Pelletier, F.: Sur le theoréme de Poincaie-Bendixon. Annales de l'Institut Fourier24, 131–148 (1974)
Moussu, R., Roussarie, R.: Relations de conjugaison et de cobordisme entre certains feuilletages. I.H.E.S. Publ.43, 143–168 (1974)
Novikov, S.P.: Topology of foliations. Trudy Moscow Mt. Obsc.14 (1965) Trans. Moscow Mt. Soc. pp. 268–304 (1965)
Orlik, P.: Seifert manifolds. Lecture Notes in Math.291. Berlin-Heidelberg-New York: Springer 1972
Papakyriakopoulas, C.D.: On Dehn's lemma and the asphericity of knots. Ann. of Math.66, 1–26 (1957)
Plante, J.: Foliations with measure-preserving holonomy. Ann. of Math.102, 327–361 (1975)
Plante, J., Thurston, W.: Polynomial growth in holonomy groups of foliations. To appear
Reeb, G.: Sur certaines propriétés topologiques des variétés feuillerées. Act. Sci. Ind.1183, 91–154 (1952)
Richards, I.: On the classification of noncompact surfaces. Trans. Amer. Mt. Soc.106, 259–269 (1963)
Rosenberg, H., Roussarie, R.: Reeb foliations. Ann. of Math.91, 1–24 (1970)
Roussarie, R.: Sur les feuilletages des variétés de dimension trois. Ann. Inst. Fourier21 (1971)
Roussarie, R.: Plongements dans les varietes feuilletees et classification de feuilletages sans holonomie. I.H.E.S. Publ.43, 101–142 (1974)
Sacksteder, R.: Foliations and pseudogroups. Amer. J. Math.87, 79–102 (1965)
Stallings, J.: On fibering certain 3-manifolds. In: Topology of 3-manifolds. Englewood Cliffs: Prentice Hall 1962
Swarup, G.A.: Finding incompressible surface in 3-manifolds. J. London Mt. Soc.6, 441–452 (1973)
Tischler, D.: On fibering certain foliated manifold. Topology9, 153 154 (1970)
Thurston, W.: A generalization of the Reeb Stability Theorem. Topology13, 347–352 (1974)
Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. of Math.87, 56–88 (1968)
Wolf, J.: Growth of finitely generated solvable groups and curvature of Riemannian manifolds. J. Diff. Geom.2, 421–446 (1968)
Wood, J.: Foliations on 3-manifolds. Ann. of Math.89, 336–358 (1969)
Author information
Authors and Affiliations
Additional information
Supported in part by NSF Grant MPS 75-06674
Rights and permissions
About this article
Cite this article
Goodman, S. On the structure of foliated 3-manifolds separated by a compact leaf. Invent Math 39, 213–221 (1977). https://doi.org/10.1007/BF01402974
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01402974