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Constant mean curvature surfaces and theory of Soltion

Research Project

Project/Area Number 09640100
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

MUTO Hide  Yamanashi University, Faculty of education and human sciences, Assoc.Prof., 教育人間科学部, 助教授 (20143646)

Co-Investigator(Kenkyū-buntansha) YASUO Minato  Yamanashi University, Faculty of Technology, Prof., 工学部, 教授 (20115322)
YAMAZAKI Seishi  Yamanashi University, Faculty Education, Assoc.Prof., 教育人間科学部, 助教授 (80020379)
TAKEMURA Yoshiya  Yamanashi University, Faculty Education, Assoc.Prof., 教育人間科学部, 助教授 (40092845)
鈴木 俊夫  山梨大学, 教育人間科学部, 教授 (20020472)
金川 秀也  山梨大学, 教育学部, 助教授 (50185899)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 1998: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1997: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsconstant mean curvature surface / integrable systems / Soltion theory / 調和写像
Research Abstract

Recently many geometers have been studied and applied Soliton theory for showing existence of a constant mean curvature surface (CMG surface) and clarifying the space of all CMC surfaces. But there are few results for geometric properties of each CMC surface.
Almost all CMG surfaces are constructed bye dressed up from a known CMC surface. But the method is not concrete. Very recentry, we introduced dressing up procedure for construct new CMG surfaces in which we use only elementary linear algebra and this is called a direct method.
In this research, we studied geometric properties of surfaces obtained by dressing up procedure

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (11 results)

All Other

All Publications (11 results)

  • [Publications] 武藤 秀夫: "Dressing up procedure と Delaunay 曲面" 京都大学数理解析研究所講究録. 995. 51-57 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 武藤 秀夫: "平均曲率一定曲面のdressing up procedure" 第44回幾何学シンポジウム(於信州大学). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hideo Muto: "A new method to find zeropoints of a polynomial from their distribution" Memoirs of the faculty of education and human sciences of Yamanashi University. 49. 5-8 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hideo Muto: "Dressing up procedure and a Delaunay surface" RIMS kokyuroku. 995. 51-57 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hideo Muto: "Dressing up procedure for a constant mean curvature surface" 44th Geometry Symposium (at Shinshu University). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hideo Muto: "A new method to find zero points of a polynomial from their distribution" Memoirs of the faculty of education and human sciences of Yamanashi University. 49. 5-8 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 武藤 秀夫: "Drerssing up procedure と Delaunay 曲面" 京都大学数理解析研究所講究録. 995. 51-57 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 武藤 秀夫: "平均曲率一定曲面のdressing up procedure" 第44回幾何学シンポジウム(於 信州大学). (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hideo Muto: "A new method to find qero pointo of a pobyn omisl from their chitribution" Memors of the faculty of education & human scuenus. 49. 5-8 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hideo Muto: "Dressing up procedureとDelaunay曲面" 京都大学数理解析研究所講究録. 995. 51-57 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Kanagawa: "Convergence up changepoint estimators for weakly dependent data" T of Non-parametric Statistyics. (to appear in).

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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