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Geometric 4 manifolds in the sense of Thurston and Seifert 4 manifolds II
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1991 Volume 43 Issue 1 Pages 149-183
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- Published: 1991 Received: February 13, 1990 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Akio Hattori on his 60th birthday
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) K. Asano, Homeomorphisms of prism manifolds, Yokohama Math. J., 26 (1978), 19-25.
2) F. Bonahon, Difféotopies des espaces lenticulaire, Topology, 22 No. 3 (1983), 305-314.
3) J. S. Birman, Braids, Links, and Mapping Class Groups. Ann. Math. Studies 82, Princeton Univ. Press, 1974.
4) M. Boileau and J. P. Otal, Groupe des difféotopies de certaines variétés de Seifert, C. R. Acad. Sc. Paris, t. 303, Serie 1, n1, (1986), 19-22.
5) J. H. Rubinstein and J. Birman, One-sided Heegaard splittings and homeotopy groups of some 3 manifolds, Proc. London Math. Soc. (3)., 49 (1984), 517-536.
6) W. D. Dunbar, Geometric orbifolds, Ph. D. Thesis, University of Princeton, 1981.
7) R. D. Filipkiewicz, Four-dimensional geometries, Ph. D. Thesis, University of Warwick, 1984.
8) C. Hodgson and J. H. Rubinstein, Involutions and isotopies of lens spaces, In “Knot theory and manifolds”. Proceedings, Vancouver 1983, Lecture Notes in Math., 1144, Springer, 1984, pp. 60-96.
9) Ma. Kato, Topology of Hopf surfaces, J. Math. Soc. Japan, 27 (1975), 222-238.
10) Ma. Kato, Erratum to “Topology of Hopf surfaces”. J. Math. Soc. Japan, 41 (1989), 173-174.
11) K. Kodaira, On the structures of compact complex analytic surfaces, I, II, III, IV, Amer. J. Math., 86 (1964), 751-798, 88 (1966), 682-721, 90 (1968), 55-83, 1048-1066.
12) A. M. Macbeath, The classification of non-euclidean plane crystallographic groups, Canad. J. Math., 19 (1967), 1199-1205.
13) P. Melvin, 2-sphere bundles over compact surfaces, Proc. Amer. Math. Soc., 92 (1984), 567-572.
14) W. D. Neumann and F. Raymond, Seifert manifolds, plumbings, μ-invariants and orientation reversing maps, In “Albebraic and Geometric Topology”. Lecture Notes in Math., 664, Springer, 1978.
15) K. Ohba, On fiber bundles over S1having small Seifert manifolds as fibers, Master's Thesis, University of Tokyo, 1988.
16) P. Orlik, Seifert manifolds, Lecture Notes in Math., 291, Springer, 1972.
17) K.Ohshika, Teichmüller spaces of Seifert fibered manifolds with infinite π1, Topology and its Appl., 27 (1987), 75-93.
18) J. H. Rubinstein, On 3-manifolds that have finite fundamental group and contain Klein bottles, Trans. Amer. Math. Soc., 251 (1979), 129-137.
19) P. Scott, The geometry of 3 manifolds, Bull. London Math. Soc., 15 (1983), 401-487.
20) T. Suwa, On ruled surfaces of genus 1, J. Math. Soc. Japan, 21 (1969), 291-311.
21) W. P. Thurston, The geometry and topology of 3 manifolds, to be published by Princeton University Press.
22) M. Ue, Geometric 4 manifolds in the sense of Thurston and Seifert 4 manifolds I, J. Math. Soc. Japan, 42 (1990), 511-540.
23) C. T. C. Wall, Geometric structures on compact complex analytic surfaces, Topology, 25 (1986), 118-153.
24) C. T. C. Wall, Geometries and geometric structures in real dimension 4 and complex dimension 2, In “Geometry and Topology” Proc. Univ. of Maryland, Lecture Notes in Math., 1167, Springer, 1985, pp. 268-292.
25) H. Zieschang, On toric fiberings over surfaces, Math. Zametki 5 (1969)=Math. Notes, 5 (1967), 341-345.
26) H. Zieschang, E. Vogt and H. D. Coldeway, Surfaces and planar discontinuous groups, Lecture Notes in Math., 835, Springer, 1980.
Right : [1] K. Asano, Homeomorphisms of prism manifolds, Yokohama Math. J., 26 (1978), 19-25.
[2] F. Bonahon, Difféotopies des espaces lenticulaire, Topology, 22 No. 3 (1983), 305-314.
[3] J. S. Birman, Braids, Links, and Mapping Class Groups. Ann. Math. Studies 82, Princeton Univ. Press, 1974.
[4] M. Boileau and J. P. Otal, Groupe des difféotopies de certaines variétés de Seifert, C. R. Acad. Sc. Paris, t. 303, Serie 1, n1, (1986), 19-22.
[5] J. H. Rubinstein and J. Birman, One-sided Heegaard splittings and homeotopy groups of some 3 manifolds, Proc. London Math. Soc. (3)., 49 (1984), 517-536.
[6] W. D. Dunbar, Geometric orbifolds, Ph. D. Thesis, University of Princeton, 1981.
[7] R. D. Filipkiewicz, Four-dimensional geometries, Ph. D. Thesis, University of Warwick, 1984.
[8] C. Hodgson and J. H. Rubinstein, Involutions and isotopies of lens spaces, In “Knot theory and manifolds”. Proceedings, Vancouver 1983, Lecture Notes in Math., 1144, Springer, 1984, pp. 60-96.
[9] Ma. Kato, Topology of Hopf surfaces, J. Math. Soc. Japan, 27 (1975), 222-238.
[10] Ma. Kato, Erratum to “Topology of Hopf surfaces”. J. Math. Soc. Japan, 41 (1989), 173-174.
[11] K. Kodaira, On the structures of compact complex analytic surfaces, I, II, III, IV, Amer. J. Math., 86 (1964), 751-798, 88 (1966), 682-721, 90 (1968), 55-83, 1048-1066.
[12] A. M. Macbeath, The classification of non-euclidean plane crystallographic groups, Canad. J. Math., 19 (1967), 1199-1205.
[13] P. Melvin, 2-sphere bundles over compact surfaces, Proc. Amer. Math. Soc., 92 (1984), 567-572.
[14] W. D. Neumann and F. Raymond, Seifert manifolds, plumbings, μ-invariants and orientation reversing maps, In “Albebraic and Geometric Topology”. Lecture Notes in Math., 664, Springer, 1978.
[15] K. Ohba, On fiber bundles over S1having small Seifert manifolds as fibers, Master's Thesis, University of Tokyo, 1988.
[16] P. Orlik, Seifert manifolds, Lecture Notes in Math., 291, Springer, 1972.
[17] K.Ohshika, Teichmüller spaces of Seifert fibered manifolds with infinite π1, Topology and its Appl., 27 (1987), 75-93.
[18] J. H. Rubinstein, On 3-manifolds that have finite fundamental group and contain Klein bottles, Trans. Amer. Math. Soc., 251 (1979), 129-137.
[19] P. Scott, The geometry of 3 manifolds, Bull. London Math. Soc., 15 (1983), 401-487.
[20] T. Suwa, On ruled surfaces of genus 1, J. Math. Soc. Japan, 21 (1969), 291-311.
[21] W. P. Thurston, The geometry and topology of 3 manifolds, to be published by Princeton University Press.
[22] M. Ue, Geometric 4 manifolds in the sense of Thurston and Seifert 4 manifolds I, J. Math. Soc. Japan, 42 (1990), 511-540.
[23] C. T. C. Wall, Geometric structures on compact complex analytic surfaces, Topology, 25 (1986), 118-153.
[24] C. T. C. Wall, Geometries and geometric structures in real dimension 4 and complex dimension 2, In “Geometry and Topology” Proc. Univ. of Maryland, Lecture Notes in Math., 1167, Springer, 1985, pp. 268-292.
[25] H. Zieschang, On toric fiberings over surfaces, Math. Zametki 5 (1969)=Math. Notes, 5 (1967), 341-345.
[26] H. Zieschang, E. Vogt and H. D. Coldeway, Surfaces and planar discontinuous groups, Lecture Notes in Math., 835, Springer, 1980.
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