• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Complex analysis and analytic manifolds

Research Project

Project/Area Number 60302004
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionTOHOKU UNIVERSITY

Principal Investigator

KURODA Tadashi  Tohoku University, Faculty of Science, professor, 理学部, 教授 (40004238)

Co-Investigator(Kenkyū-buntansha) FUJIMOTO Hirotaka  Kanazawa University, Faculty of Science, Professor, 理学部, 教授 (60023595)
IKEGAMI Teruo Osaka Cit  大阪市立大学, 理学部, 教授 (90046889)
SUITA Nobuyuki  Tokyo Institute of Technology, Faculty of Science, Professor, 理学部, 教授 (90016022)
MATSUMOTO Kikuji  Nagoya University, Department of General Education, Professor, 教養部, 教授 (90023522)
TANIGUCHI Masahiko  Kyoto University, Faculty of Science, Associate Professor, 理学部, 助教授 (50108974)
Project Period (FY) 1985 – 1986
Project Status Completed (Fiscal Year 1986)
Budget Amount *help
¥8,300,000 (Direct Cost: ¥8,300,000)
Fiscal Year 1986: ¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 1985: ¥4,700,000 (Direct Cost: ¥4,700,000)
Keywordsalgebroid functions / Douglas algebra / potential / Caratheodory hyperbolic manifolds / Douady spaces / ベルグマン計量
Research Abstract

To proceed the study of complex analysis and analytic manifolds, we dealt with the fundamental research of conformal mappings, potential theory, Teichmuller spaces and analytic functions of several complex variables.
As the fundamental research of conformal mappings, we took up a problem on analytic mappings between Riemann surfaces of algebroid functions and could get a fine result on the problem. Furthermore, we succeeded to grasp the meaning of Douglas algebra of bounded functions.
In the research of potential theory, the potential with function kernels were discussed and conditions for a certain kernel to be the resolvent kernel were obtained.
As studies on Teichmuller spaces, we could find a new meaning of classifications of holomorphic automorphisms of a Riemann surface due to Bers and Thurston. Moreover, a study on the Douady space of holomorphic mappings of a closed Riemann surface into a two dimensional closed hyperbolic manifold in the sense of Caratheodory was developped.
As the research on analytic functions of several variables, we could obtain the characterizations of symmetric domains by using eigenvalues of the curvature operator of Bergman metric and succeeded also to get a result on the finiteness theorem on meromorphic mappings into complex projective spaces.

Report

(1 results)
  • 1986 Final Research Report Summary
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] 今吉洋一: Math.Ann.270. 403-416 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 谷口雅彦: J.Math.Kyoto Univ.25. 597-617 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 谷口雅彦: Tohoku M.J.38. 281-295 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 谷口雅彦: Japanese J.M.12. 53-68 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 新濃清志: Tohoku M.J.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 窪田佳尚: Kodai M.J.9. 241-244 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 窪田佳尚: Canad.Math.Bull.29. 358-364 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 吹田信之,小林昇二: Complex Variables. 5. 181-188 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 池上輝男: OsaKa J.M.23. 653-680 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 渡辺ヒサ子: Nat.Sci.Rep.Ochanomizu Univ.37. 35-46 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 藤本坦孝: Japanese J.M.11. 233-264 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 藤本坦孝: Sci.Rep.Kanazawa Univ.30. 15-25 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 藤本坦孝: Tohoku M.J.38. 327-341 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] 東川和夫: Tohoku M.J.37. 197-223 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Yoichi Imayoshi: "Holomorphic maps of compact Riemann surfaces into 2-dimensional compact C-hyperbolic manifolds" Math. Ann.270. 403-416 (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Masahiko Taniguchi: "Square integrable harmonic differentials on arbitrary Riemann surfaces with a finite number of nodes" J. Math. Kyoto Univ.25. 597-617 (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Masahiko Taniguchi: "Continuity of certain differentials on finitely augmented Teichmuller spaces and variational formulas of Schiffer-Spencer's type" Tohoku M. J.38. 281-295 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Masahiko Taniguchi: "On the modulus of the free homotopy class of a simple closed curve on an arbitrary Riemann surface" Japanese J. M.12. 53-68 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Kiyoshi Niino: "Analytic mappings between two regularly branched three-sheeted algebroid surfaces" Tohoku M. J. To be published.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Yoshihisa Kubota: "A generalization of a theorem of Landau" Kodai M. J.9. 241-244 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Yoshihisa Kubota: "Some properties of bounded holomorphic mappings defined on bounded homogeneous domains" Cand. Math. Bull.29. 358-364 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Nobuyuki Suita and Shoji Kobayashi: "Area integrals and <H_p> norms of analytic functions" Complex Variables. 5. 181-188 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Teruo Ikegami: "Compactifications of Martin type of harmonic spaces" Osaka J. M.23. 653-680 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Hisako Watanabe: "On the existence of semi-balayaged measures" Nat. Sci. Rep. Ochanomizu Univ.37. 35-46 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Hirotaka Fujimoto: "Non-integrated defect relation for meromorphic maps of complete Kahler manifolds into <P(^N_l)> (C) X ... X <P(^N_k)> (C)" Japanese J. M.11. 233-264 (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Hirotaka Fujimoto: "A finiteness theorem of meromorphic maps into a compact normal complex space" Sci. Rep. Kanazawa Univ.30. 15-25 (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Hirotaka Fujimoto: "A unicity theorem for meromorphic maps of a complete Kahler manifold into <P^N> (C)" Tohoku M. J.38. 327-341 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Kazuo Azukawa: "Curvature operator of the Bergman metric on a homogeneous bouded domain" Tohoku M. J.37. 197-223 (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary

URL: 

Published: 1987-03-31   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi