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

The relation between an intrinsic property and an extrinsic property of a submanifold

Research Project

Project/Area Number 18740034
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Geometry
Research InstitutionKumamoto University

Principal Investigator

ANDO Naoya  Kumamoto University, 大学院・自然科学研究科, 准教授 (50359965)

Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,540,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2006: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywords主分布 / 曲率線 / 測地的曲率 / molding surface / 優決定系 / 整合条件 / Liouvilleの方程式 / sinh-Gordon方程式 / 準曲面 / 主方向平行曲面 / Codazzi-Mainardi多項式 / 測地線 / 準曲面(構造) / 標準的前発散 / 平均曲率-定曲面 / 一般化されたRicci条件 / 平坦な曲面
Research Abstract

私は数年前,第一基本形式と曲率線(接線が主方向である曲線)がE3の曲面の主曲率をほとんど決定することを示した.上記研究期間内においては,3次元空間型の曲面の曲率線の測地的曲率の観点で幾つかの種類の曲面の特徴付けを行なった.また主曲率を解とする優決定系を調べ,第一基本形式と曲率線が曲面の主曲率をどの程度決定するのかについて幾つかの結果を得た.

Report

(4 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (21 results)

All 2009 2008 2007 2006 Other

All Journal Article (5 results) (of which Peer Reviewed: 1 results) Presentation (10 results) Remarks (6 results)

  • [Journal Article] A surface which has a family of geodesics of curvature2007

    • Author(s)
      N. Ando
    • Journal Title

      Beitraege zur Algebra und Geometrie 48

      Pages: 237-250

    • Related Report
      2008 Final Research Report
  • [Journal Article] A surface which has a family of geodesies of curvature2007

    • Author(s)
      N. Ando
    • Journal Title

      Beitraege zur Algebra und Geometrie 48

      Pages: 237-250

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semisurfaces and the equations of Codazzi-Mainardi2006

    • Author(s)
      N, Ando
    • Journal Title

      Tsukuba J. Math 30

      Pages: 1-30

    • NAID

      120005351899

    • Related Report
      2008 Final Research Report
  • [Journal Article] Semisurfaces and the equations of Codazzi-Mainardi2006

    • Author(s)
      Naoya Ando
    • Journal Title

      Tsukuba J. Math 30

      Pages: 1-30

    • NAID

      120005351899

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A surface which has a family of geodesics of curvature

    • Author(s)
      Naoya Ando
    • Journal Title

      Beitraege zur Algebra und Geometrie (未定)

    • Related Report
      2006 Annual Research Report
  • [Presentation] Molding surfaces and Liouville's equation2009

    • Author(s)
      安藤直也
    • Organizer
      研究集会「測地線および関連する諸問題」
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-01-11
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Molding surfaces and Liouville's equation2008

    • Author(s)
      安藤直也
    • Organizer
      日本数学会2008年度秋季幾何学分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Molding surfaces and Liouville's equation2008

    • Author(s)
      安藤直也
    • Organizer
      幾何学阿蘇研究集会
    • Place of Presentation
      休暇村南阿蘇
    • Year and Date
      2008-08-31
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] 曲面の曲率線の測地的曲率2007

    • Author(s)
      安藤直也
    • Organizer
      第54回幾何学シンポジウム
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2007-08-24
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] 曲面の曲率線の測地的曲率2007

    • Author(s)
      安藤直也
    • Organizer
      熊本大学幾何学セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-08-03
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] 曲面の曲率線の測地的曲率について2007

    • Author(s)
      安藤直也
    • Organizer
      日本数学会2007年度年会幾何学分科会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-27
    • Related Report
      2008 Final Research Report
  • [Presentation] 曲面の曲率線の測地的曲率2007

    • Author(s)
      安藤直也
    • Organizer
      研究集会「幾何構造と部分多様体の交差する領域」
    • Place of Presentation
      名城大学
    • Year and Date
      2007-03-06
    • Related Report
      2008 Final Research Report
  • [Presentation] 曲面の曲率線の測地的曲率について2006

    • Author(s)
      安藤直也
    • Organizer
      部分多様体論・湯沢2006
    • Place of Presentation
      新潟県,湯沢グランドホテル
    • Year and Date
      2006-11-29
    • Related Report
      2008 Final Research Report
  • [Presentation] 曲率線の族の一つが測地線からなる曲面について2006

    • Author(s)
      安藤直也
    • Organizer
      日本数学会2006年度秋季幾何学分科会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-19
    • Related Report
      2008 Final Research Report
  • [Presentation] 曲率線の族のーつが測地線からなる曲面について2006

    • Author(s)
      安藤直也
    • Organizer
      九州大学幾何学セミナー
    • Place of Presentation
      九州大学
    • Year and Date
      2006-05-12
    • Related Report
      2008 Final Research Report
  • [Remarks]

    • URL

      http://www.sci.kumamoto-u.ac.jp/~ando/papers.html

    • Related Report
      2008 Final Research Report
  • [Remarks]

    • URL

      http://www.sci.kumamoto-u.ac.jp/~ando/intro-j.html

    • Related Report
      2008 Final Research Report
  • [Remarks]

    • URL

      http://www.sci-kumamoto-u-ac.jp/~ando/aers.html

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.sci.kumamoto-u.ac.jp/~ando/intro-j.html

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.sci.kumamoto-u.ac.jp/~ando/papers.html,

    • Related Report
      2007 Annual Research Report
  • [Remarks]

    • URL

      http://www.sci.kumamoto-u.ac.jp/~ando/intro-j.html

    • Related Report
      2007 Annual Research Report

URL: 

Published: 2006-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi