著書・論文等(小島 定吉)

English

著書

  1. 離散構造(現代基礎数学14),朝倉書店, 2013年
  2. 3次元の幾何学(講座 数学の考え方22),朝倉書店, 2002年
  3. 多角形の現代幾何学(数理情報科学シリーズ1),牧野書店, 増補版,1999年(初版,1993年)
  4. トポロジー入門(共立講座21世紀の数学7),共立出版, 1998年
    初版第1刷訂正項目リストの PDF ファイル
    初版第2刷訂正項目リストの PDF ファイル

監訳

  1. 「曲空間の幾何学」(P. M. H. ウィルソン著), 朝倉書店,2009年
  2. 「3次元幾何学とトポロジー」(W.サーストン著), 培風館,1999年

論文

  1. (with S. Klaus) On the moduli space of equilateral plane pentagons : PDF ファイル , version (April 13, 2017).
  2. (with G. McShane) Normalized entropy versus volume for pseudo-Anosovs : PDF ファイル , to appear in Geom & Topol., revised version (February 26, 2015), in revision (November 2014).
  3. (with E. Kin and M. Takasawa) Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior : PDF ファイル , Algebr. Geom. Topol., 13 (2013), 3537-3602.
  4. Entropy, Weil-Petersson translation distnance and Gromov norm for surface automorphisms : PDF ファイル , Proc. Amer. Math. Soc., 140 (2012), 3993-4002.
  5. (with E. Kin, M. Takasawa) Entropy versus Volume for pseudo-Anosovs : PDF ファイル , Experimental Math., 18 (2009), 397-407.
  6. (with K. Murota, Y. Kanno, M. Kojima) A numerical algorithm for block-diagonal decomposition of matrix *-algebra : PDF ファイル , Japan J. Indust. Appl. Math., 27 (2010), 125-160.
  7. Circle Packings and Teichmuller space : PDF ファイル , Handbook of Teichmuller Theory, Volume II, (2009), 509-531.
  8. (with S. Mizushima and S. P. Tan) Circle Packings on Surfaces with Projective Structures : A survey, PS ファイル, PDF ファイル , LMS Lecture Note Series 329 (2006), 337-353.
  9. (with S. Mizushima and S. P. Tan) Circle Packings on Surfaces with Projective Structures and Uniformization, PS ファイル, PDF ファイル , Pacific J. Math., 225 (2006), 287-300.
  10. (with S. Mizushima) The Dehn filling space of a certain hyperbolic 3-orbifold, PS ファイル, PDF ファイル Contemporary Math., 347 (2004), 131-140.
  11. (with S. Mizushima and S. P. Tan) Circle Packings on Surfaces with Projective Structures, PS ファイル J. Differential Geom., 63 (2003), 349-397.
  12. Complex Hyperbolic Cone Structures on the Configuration Spaces, PS ファイル, Rend. Istit. Mat. Univ. Trieste, 32 (2001), 149--163.
  13. (with Y. Yamashita and H. Nishi) Configuration Spaces of Points on the Circle and Hyperbolic Dehn Fillings, II, PS ファイル Geometriae Dedicata, 89 (2002), 143--157
  14. (with H. Nishi and Y. Yamashita) Configuration Spaces of Points on the Circle and Hyperbolic Dehn Fillings, Topology, 38 (1999), 497--516.
  15. Deformations of Hyperbolic 3-Cone-Manifolds, J. Differential Geom., 49 (1998), 469--516.
  16. Hyperbolic 3-Manifolds Singular along Knots, Chaos, Solitions and Fractals, 9 (1998), 765--777.
  17. (with A. Ishibashi, T. Koike and M. Siino) Compact Hyperbolic Universe and Singularities, Physical Review D, 54 (1996), 7303--7310.
  18. Nonsingular Parts of Hyperbolic 3-Cone-Manifolds, Topology and Teichmuller spaces, ed. by S. Kojima et al, World Scientific Publ., (1996), 115--122.
  19. (with M. Fujii) Flexible Boundaries in Deformations of hyperbolic 3-manifolds, Osaka J. Math., 34 (1997), 541--551.
  20. (with M. Kojima and S. Hara) Linear Algebra for Semidefinite Programming, Research Rep. on Info. Sci. B-290, 10/94, RIMS Kokyuroku, 1004 (1997), 1--23.
  21. Immersed Geodesic Surfaces in Hyperbolic 3-Manifolds, Complex Variables, 29 (1996), 45--58.
  22. Geometry of Hyperbolic 3-manifolds with Boundary, Kodai Math. J., 17 (1994), 530--537.
  23. (with Y. Yamashita) Shapes of Stars, Proc. Amer. Math. Soc., 117 (1993), 845--851.
  24. (with M. Ishida) Apollonian Packings and Hyperbolic Geometry, Geometriae Dedicata, 43 (1992), 265--283.
  25. Polyhedral Decomposition of Hyperbolic Manifolds with Boundary, PDF ファイル , On the geometric structure of manifolds, edited by Dong Pyo Chi, Proc. of Workshop in Pure Math., 10, part III (1990), 37--57.
  26. (with Y. Miyamoto) The smallest Hyperbolic 3-Manifolds with Totally Geodesic Boundary, J. Differential Geom., 34 (1991), 175--192.
  27. Polyhedral Decomposition of Hyperbolic 3-Manifolds with Totally Geodesic Boundary, Adv. Stud. Pure Math., 20 (1992), 93--112.
  28. (with M. Ho Kim and F. Raymond) Homotopy Invariants of Nonorientable 4-Manifolds, Trans. Amer. Math. Soc., 333 (1992), 71--81.
  29. Isometry Transformations of Hyperbolic 3-Manifolds, Topology Appl., 29 (1988), 297-307.
  30. Finite Covers of 3-Manifolds Containing Essential Surfaces of Euler Characteristic = 0, Proc. Amer. Math. Soc., 101 (1987), 743-747.
  31. (with D. D. Long) Virtual Betti Numbers of some Hyperbolic 3-Manifolds, A F\^ete of Topology, edited by Y. Matsumoto, T. Mizutani and S. Morita, Acad. Press, 1988, 417-437.
  32. Determining Knots by Branched Covers, Low-dimensional Topology and Kleinian Groups, edited by D. B. A. Epstein, London Math. Soc., Lect. Note Series, 112 (1986), 193-207.
  33. Bounding Finite Groups acting on 3-Manifolds, Math. Proc. Camb. Phil. Soc., 96 (1984), 269-281.
  34. A Construction of Geometric Structures on Seifert fibered Spaces, J. Math. Soc. Japan, 36 (1984), 483-495.
  35. Nilpotent Completions and Lie Rings associated to Link Groups, Comment. Math. Helv., 58 (1983), 115-134.
  36. Milnor's $\bar \mu$-Invariants, Massey Products and Whitney's Trick in 4 Dimensions, Topology Appl., 16 (1983), 43-60.
  37. (with A. Kawauchi) Algebraic Classification of Linking Pairings on 3-Manifolds, Math. Ann., 253 (1980), 29-42.
  38. (with M. Yamasaki) Some New Invariants of Links, Inventiones math., 54 (1979), 213-228.
  39. (with M. Kato, T. Ohkawa and M. Yamasaki) The Matsumoto Tripling for Compact Simply Connected 4-Manifolds, Tohoku Math. J., 31 (1979), 525-535.
  40. Piecewise Linear Dehn's Lemma in 4-Dimensions, Proc. Japan Acad., 55 (1979), 65--67.
  41. Classification of Simple Knots by Levine Pairings, Comment. Math. Helv., 54 (1979), 356--367, Erratum, ibid, 55 (1980), 652--653.
  42. A Classification of some Even Dimensional Fibered Knots, J. Fac. Sci. Univ. Tokyo, 24 (1977), 671--683.

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