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Geometric 4-manifolds in the sense of Thurston and Seifert 4-manifolds I
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1990 Volume 42 Issue 3 Pages 511-540
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- Published: 1990 Received: March 03, 1989 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: CITATION Details: Wrong : 1) W. Barth, C. Peters and A. Van de Ven, Compact Complex Surfaces, Springer, 1984.
2) F. Bonahon and L. C. Siebenmann, Seifert 3-orbifolds and their role as natural crystalline parts of arbitrary compact irreducible 3-orbifolds, preprint, IHES and Orsay, 1983.
3) F. Bonahon and L. C. Siebenmann, The classification of Seifert fibered 3-orbifolds, In: Low dimensional Topology, London Math. Soc. Lecture Note Ser., 95, Camb. Univ. Press, 1985, pp. 19-85.
4) F. Calabi, Closed, locally euclidean, 4-dimensional manifolds, Bull. Amer. Math. Soc., 63 (1957), 135.
5) W. D. Dunbar, Fibered orbifolds and crystallographic groups, Thesis, Princeton University, 1981.
6) R. O. Filipkiewicz, Four dimensional geometries, Ph. D. Thesis, University of Warwick, 1984.
7) Y. Kamishima, K. B. Lee and F. Raymond, The Seifert construction and its applications to infranilmanifolds, Quart. J. Math. Oxford Ser. (2), 34 (1983), 433-452.
8) K. B. Lee and F. Raymond, Rigidity of almost crystallographic groups, In: Proc. Conference on Combinatorial methods in Topology and Algebraic Geometry, Contemp. Math., 44 (1985), 73-78.
9) W. H. Meeks III and P. Scott, Finite group actions on 3-manifolds, Invent. Math., 86 (1986), 287-346.
10) P. Orlik, Seifert manifolds, Lecture Notes in Math., 291, Springer, 1972.
11) M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer, 1972.
12) K. Sakamoto and S. Fukuhara, Classification of T2-bundles over T2, Tokyo J. Math., 6 (1983), 311-327.
13) P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc., 15 (1983), 401-487.
14) W. P. Thurston, The geometry and topology of 3-manifolds, to be published by Princeton University Press.
15) W. P. Thurston, Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc., 6 (1982), 357-381.
16) M. Ue, On the 4-dimensional Seifert fiberings with euclidean base orbifolds, In: A Fete of Topology, Academic Press, 1988, pp. 471-524.
17) M. Ue, Geometric 4-manifolds in the sense of Thurston and Seifert 4-manifolds II, preprint, 1988.
18) C. T. C. Wall, Geometric structures on compact complex analytic surfaces, Topology, 25 (1986), 119-133.
19) C. T. C. Wall, Geometries and geometric structures in real dimension 4 and complex dimension 2, In: Proc. of University of Maryland, Geometry and Topology, Lecture Notes in Math., 1167, Springer, 1985, pp. 268-292.
20) J. A. Wolf, Spaces of Constant Curvature (5-th edition), Publish or Perish, Berkeley, 1983.
21) H. Zieschang, On toric fiberings over surfaces, Math. Zametki., 5 (1969) =Math. Notes., 5 (1967), 341-345.
22) B. Zimmerman, Zur Klassifikation hoeheredimensionaler Seifertscher Faserraume, In: Low Dimensional Topology, London Math. Soc. Lecture Note Ser., 95, Cambridge Univ. Press, 1985, pp. 214-255.
Right : [1] W. Barth, C. Peters and A. Van de Ven, Compact Complex Surfaces, Springer, 1984.
[2] F. Bonahon and L. C. Siebenmann, Seifert 3-orbifolds and their role as natural crystalline parts of arbitrary compact irreducible 3-orbifolds, preprint, IHES and Orsay, 1983.
[3] F. Bonahon and L. C. Siebenmann, The classification of Seifert fibered 3-orbifolds, In: Low dimensional Topology, London Math. Soc. Lecture Note Ser., 95, Camb. Univ. Press, 1985, pp. 19-85.
[4] F. Calabi, Closed, locally euclidean, 4-dimensional manifolds, Bull. Amer. Math. Soc., 63 (1957), 135.
[5] W. D. Dunbar, Fibered orbifolds and crystallographic groups, Thesis, Princeton University, 1981.
[6] R. O. Filipkiewicz, Four dimensional geometries, Ph. D. Thesis, University of Warwick, 1984.
[7] Y. Kamishima, K. B. Lee and F. Raymond, The Seifert construction and its applications to infranilmanifolds, Quart. J. Math. Oxford Ser. (2), 34 (1983), 433-452.
[8] K. B. Lee and F. Raymond, Rigidity of almost crystallographic groups, In: Proc. Conference on Combinatorial methods in Topology and Algebraic Geometry, Contemp. Math., 44 (1985), 73-78.
[9] W. H. Meeks III and P. Scott, Finite group actions on 3-manifolds, Invent. Math., 86 (1986), 287-346.
[10] P. Orlik, Seifert manifolds, Lecture Notes in Math., 291, Springer, 1972.
[11] M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer, 1972.
[12] K. Sakamoto and S. Fukuhara, Classification of T2-bundles over T2, Tokyo J. Math., 6 (1983), 311-327.
[13] P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc., 15 (1983), 401-487.
[14] W. P. Thurston, The geometry and topology of 3-manifolds, to be published by Princeton University Press.
[15] W. P. Thurston, Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc., 6 (1982), 357-381.
[16] M. Ue, On the 4-dimensional Seifert fiberings with euclidean base orbifolds, In: A Fete of Topology, Academic Press, 1988, pp. 471-524.
[17] M. Ue, Geometric 4-manifolds in the sense of Thurston and Seifert 4-manifolds II, preprint, 1988.
[18] C. T. C. Wall, Geometric structures on compact complex analytic surfaces, Topology, 25 (1986), 119-133.
[19] C. T. C. Wall, Geometries and geometric structures in real dimension 4 and complex dimension 2, In: Proc. of University of Maryland, Geometry and Topology, Lecture Notes in Math., 1167, Springer, 1985, pp. 268-292.
[20] J. A. Wolf, Spaces of Constant Curvature (5-th edition), Publish or Perish, Berkeley, 1983.
[21] H. Zieschang, On toric fiberings over surfaces, Math. Zametki., 5 (1969) =Math. Notes., 5 (1967), 341-345.
[22] B. Zimmerman, Zur Klassifikation hoeheredimensionaler Seifertscher Faserraume, In: Low Dimensional Topology, London Math. Soc. Lecture Note Ser., 95, Cambridge Univ. Press, 1985, pp. 214-255.
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