宮地 秀樹(Hideki Miyachi)


    研究論文リスト(査読付き)

    1. Hideki Miyachi and Hiroshige Shiga
      Holonomies and the slope inequality of Lefschetz fibrations
      Proc. Amer. Math. Soc. 139 (2011), 1299-1307.

    2. Ken'ichi Ohshika and Hideki Miyachi
      Uniform models for the closure of the Riley slice
      In the tradition of Ahlfors-Bers, V Contemporary math 510 (2010), 249--306.

    3. Hideki Miyachi
      Quasiarcs and the outside of the asymptotic Teichmüller space
      ``Infinite dimensional Teichmüller space and moduli space" (ed. E. Fujikawa),
      RIMS Kôkyûroku Bessatsu 17 (2010), 85--104.

    4. Hideki Miyachi
      Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space
      Geometriae Dedicata 137 (2008), 113--141

    5. Hideki Miyachi
      Image of asymptotic Bers Map
      Journal of Mathematical Society of Japan 60, no.4 (2008), 1255--1276.

    6. Hideki Miyachi
      On the Gardiner-Masur boundary of Teichmüller spaces
      Proceedings of the 15th ICFIDCAA Osaka 2007, OCAMI Studies 2 (2008), 295--300.

    7. Hideki Miyachi
      The inner and outer radii of asymptotic Teichmüller spaces,
      Complex Variables and Elliptic Equations 53, issue 2 (2008), 139--158.

    8. Hideki Miyachi
      A reduction for asymptotic Teichmüller spaces
      Ann. Acad. Sci. Fenn. Math. 32 (2007), 55-71.

    9. Hideki Miyachi
      On invariant distances on asymptotic Teichmüller spaces
      Proc. Amer. Math. Soc. 134, no.7 (2006), 1917-1925.

    10. Hideki Miyachi,
      The limit sets of quasifuchsian punctured surface groups and the Teichmüller distances
      Kodai Math. J. 28 (2005), 301--309.

    11. Hirotaka Akiyoshi, Hideki Miyachi and Makoto Sakuma
      Variations of McShane's identity for punctured surface groups
      in Spaces of Kleinian groups (Eds. Y.Minsky, M.Sakuma and C.Series), LMS Lec.Notes 329 (2005), 151--185.

    12. Hideki Miyachi
      Moduli of Continuity of Cannon-Thurston maps
      in Spaces of Kleinian groups (Eds. Y.Minsky, M.Sakuma and C.Series), LMS Lec.Notes 329 (2005), 121--149.

    13. Kenichi Ohshika and Hideki Miyachi
      On topologically tame Kleinian groups with bounded geometry
      in Spaces of Kleinian groups (Eds. Y.Minsky, M.Sakuma and C.Series), LMS Lec.Notes 329 (2005), 29--48.

    14. Hirotaka Akiyoshi, Hideki Miyachi and Makoto Sakuma
      A refinement of McShane's identity for quasifuchsian punctured torus groups
      In the tradition of Ahlfors and Bers III, Contemporary math. 355 (2004), 21-40.

    15. Hideki Miyachi,
      Quasi-arcs in the limit set of a singly degenerate group with bounded geometry
      In Kleinian Groups and Hyperbolic 3-Manifolds (Eds. Y.Komori, V.Markovic C.Series) LMS. Lec. Notes 299 (2003), 131--144.

    16. Hideki Miyachi,
      Cusps in complex boundaries of one-dimensional Teichmüller space
      Conform. Geom. Dyn. 7 (2003), 103--151

    17. Hideki Miyachi,
      On the horocyclic coordinate for the Teichmüller space of once punctured tori
      Proc. Amer. Math. Soc. 130 (2002), 1019-1029.

    18. Hideki Miyachi,
      On the area of the complement of the invariant component of certain b-groups and On sequences of terminal regular b-groups
      J. Math. Kyoto Univ. 39 (1999), 421-434.

    19. Hideki Miyachi,
      On the existence of certain quadratic differentials on four times punctured spheres and once punctured tori
      Kodai Math. J. 22 (1999), 187-207.


  • 投稿中の論文・プレプリント・準備中の論文

    1. Hideki Miyachi,
      A differential formula for Extremal length
      preprint (submitted)

    2. Hideki Miyachi,
      Integrations of invariant measures over the moduli space of Riemann surfaces
      preprint (submitted)

    3. Hideki Miyachi,
      A survey on the extremal length geometry on Teichmüller space
      preprint (submitted)

    4. Hideki Miyachi,
      Unification of the extremal length geometry on Teichmüller space via intersection number
      preprint (submitted)

    5. Hideki Miyachi,
      Teichmüller space has non-Busemann points
      preprint (submitted)

    6. Hideki Miyachi,
      Lipschitz algebra and compactifications of Teichmüller space
      preprint (submitted)

    7. Hideki Miyachi
      Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space II
      preprint (submitted)

    8. Hideki Miyachi and Dragomir Saric
      Uniform weak*-topology and Earthquakes in the hyperbolic plane
      preprint (submitted)


  • 解説・研究報告・講義録・その他

    1. 宮地秀樹
      極値的長さによるタイヒミュラー空間の幾何
      第54回函数論シンポジウムアブストラクト(2011)

      宮地秀樹
      私的タイヒミュラー理論入門(2010年7月13日修正),
      第7回城崎新人セミナー報告集(2010)

    2. 宮地秀樹
      最大値の原理
      数学セミナー2005年12月号特集「複素数からの微分積分」, 30--33.

    3. 宮地秀樹
      函数論, 私的函数論概説
      数学ガイダンスhyper (2005), 日本評論社, 148--153.

    4. 宮地秀樹
      漸近的Teichmülller空間について
      第47回函数論シンポジウム アブストラクト.

    5. 宮地秀樹
      クライン群の極限集合の群同変な連続写像について
      数理解析研究所講究録 1387 (2004), 78--80.

    6. Hideki Miyachi
      On the horocyclic coordinate for the Teichmüller space of once punctured tori
      Travaux de la Conference Internationale d'Analyse Complexe et du 8e Seminaire Roumano-Finlandais (Iassy, 1999). Math. Rep. (Bucur.) 2(52) (2000), no. 4, 527--532 (2001).

    7. 宮地秀樹
      On cusps in the boundary of the one-dimensional Teichmüller space
      数理解析研究所講究録 1163 (2000), 18-23.

    8. 宮地秀樹
      On cusps in the boundary of the Maskit slice for the once punctured torus groups
      数理解析研究所講究録 1153 (2000), 20-28.

    9. 今吉洋一, 伊藤学, 宮地秀樹, 山本寛
      Riemann面とその変形空間の椄円座標およびモジュライ空間
      研究集会資料集(大阪市立大学)(1998).

    10. 宮地秀樹
      あるb-群の不変成分の補集合のユークリッド面積とその応用
      数理解析研究所講究録 1065 (1998), 88-105.



作成日:2008/04/01