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2000 Fiscal Year Final Research Report Summary

Curves and Geometry

Research Project

Project/Area Number 11640079
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionShimane University

Principal Investigator

MAEDA Sadahiro  Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (40181581)

Co-Investigator(Kenkyū-buntansha) KIMURA Makoto  Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (30186332)
HATTORI Yasunao  Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (20144553)
FURUMOCHI Tetsuo  Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (40039128)
ADACHI Toshiaki  Nagoya Institute of Technology, Faculty of Engineering, Associate Professor, 工学部, 助教授 (60191855)
Project Period (FY) 1999 – 2000
Keywordsisoparametric hypersurface / homogeneous real hypersurface / geodesic / circle / real space form / complex space form / geodesic sphere / Killing vector field
Research Abstract

(1) By investigating the extrinsic shape of geodesics of all isoparametric hypersurfaces in a real space form we characterize such hypersurfaces. (Canadian Math.Bull.)
(2) From the viewpoint of (1) we characterize all homogeneous real hypersurfaces in a complex projective space. (Archiv der Math.)
(3) We study geometric properties of circles in a compact Hermitian symmetric space. (Tsukuba J.Math.)
(4) Investigating the holomorphic distribution of homogeneous real hypersurfaces of type A1, A2 or type B, we characterize such real hypersurfaces. (Czechoslovak Math.J.)
(5) By investigating the holomorphic distribution of all homogeneous real hypersurfaces we characterize them. (Tokyo J.Math.)

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 前田定廣,木村真琴: "Geometric meaning of isoparametric〜"Canadian Math.Bull.. 43. 74-78 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 前田定廣,足立俊明: "Simpleness and closedness of circles〜"Tsukuba J.Math.. 24. 1-13 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 前田定廣,足立俊明: "Space forms from the viewpoint-"Bull.Australian Math.Soc.. 62. 205-210 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 前田定廣,木村真琴: "Geometry of holomorphic distribution"Czechoslovak Math.J.. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 前田定廣,足立俊明: "Some characterizations of quaternionic〜"Proc.Japan Acad.Ser.A. 76. 168-172 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 服部泰直: "Kapproximations and strongly〜"Proc.Japan Acad.Ser.A. 75. 115-117 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Sadahiro MAEDA and Makoto KIMURA: "Geometric meaning of isoparametric"Canadian Math.Bull.. Vol.43. 74-78 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Sadahiro MAEDA and Toshiaki ADACHI: "Simpleness and closedness of circles"Tsukuba J.Math.. Vol.24. 1-13 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Sadahiro MAEDA and Toshiaki ADACHI: "Space forms from the viewpoint"Bull.Australian Math.Soc.. Vol.62. 205-210 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Sadahiro MAEDA and Makoto KIMURA: "Geometry of holomorphic distribution"Czechoslovak Math.J.. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Sadahiro MAEDA and Toshiaki ADACHI: "Some characterizations of quaternionic"Proc.Japan Acad.Ser.A. Vol.76. 168-172 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yasunao HATTORI,K: "approximations and strongly"Proc.Japan Acad.Ser.A. Vol.75. 115-117 (1999)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2002-03-26  

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