Mathematische Zeitschrift

, Volume 199, Issue 4, pp 501–509 | Cite as

Surfaces minimizing area in their homology class and group actions on 3-manifolds

  • Joel Hass


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  1. 1.
    Federer, H.: Geometric Measure Theory. Springer-Verlag New York 1969MATHGoogle Scholar
  2. 2.
    Freedman, M.H., Hass, J., Scott, G.P.: Least area incompressible surfaces in 3-manifolds. Invent. Math.71 (1983)Google Scholar
  3. 3.
    Hass, J., Scott, G.P.: The existence of least area surfaces in 3-manifolds. To appear in Trans. Am. Math. Soc.Google Scholar
  4. 4.
    Hass, J., Rubinstein, J.H.: Shortest 1-sided geodesics. Mich. Math. J.33, 155–168 (1986)MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Hempel, J.: Three-Manifolds. Ann. Math. Stud.86, Princeton: University Press 1976Google Scholar
  6. 6.
    Jaco, W.: Lectures on 3-Manifold topology. C.B.M.S. Regional conference series in Mathematics43, A.M.S. 1980Google Scholar
  7. 7.
    Meeks III W.H., Yau, S.T.: Topology of three dimensional manifolds and the embedding theorems in minimal surface theory. Ann. Math.112, 441–484 (1980)MathSciNetCrossRefMATHGoogle Scholar
  8. 8.
    Papakyriakopoulous, C.D.: On Dehn's lemma and the asphericity of knots. Ann. Math.66, 1–26 (1957)CrossRefGoogle Scholar
  9. 9.
    Tahara, K.: Finite subgroups ofGL 3(Z). Nagoya Math. J. 169–209 (1971)Google Scholar
  10. 10.
    Thurston, W.: The geometry and topology of 3-manifolds. Princeton University lecture notes.Google Scholar
  11. 11.
    Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. Math.87, 56–88 (1968)MathSciNetCrossRefMATHGoogle Scholar
  12. 12.
    Whitehead, J.H.C.: On finite cocycles and the sphere theorem. Colloq. Math.6, 271–281 (1958)MathSciNetMATHGoogle Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Joel Hass
    • 1
  1. 1.Department of MathematicsHebrew University of JerusalemJerusalemIsrael

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