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Research on differential geometry with related to the recent results of computer algebra

Research Project

Project/Area Number 21540103
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

HAMADA Tatsuyoshi  福岡大学, 理学部, 助教 (90299537)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords幾何学 / 応用数学 / 計算機システム / KNOPPIX / 計算機代数
Research Abstract

We investigated the new approach to differential geometry with related to the recent results in computer algebra. We studied intrinsic geometry of Lie hypersurfaces in complex space forms. On the other hand, We developed the computer environment of Live Linux, it contains many computer algebra and visualization systems. KNOPPIX/Math and MathLibre are systems of collections of software tools and documents for researching mathematics.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (54 results)

All 2012 2011 2010 2009 Other

All Journal Article (8 results) (of which Peer Reviewed: 7 results) Presentation (28 results) Remarks (18 results)

  • [Journal Article] KNOPPIX/Math : a live system for mathematics2012

    • Author(s)
      Tatsuyoshi Hamada and KNOPPIX/Math committers
    • Journal Title

      Proceedings of the Second CREST-SBM International Conference "Harmony of Groebner Bases and the Modern Industrial Society"

      Pages: 41-44

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] KNOPPIX/Math : a live system for mathematics2011

    • Author(s)
      T.Hamada, KNOPPIX/Math committers
    • Journal Title

      Proceedings of the Second CREST-SBM International Conference "Harmony of Groebner Bases and the Modern Industrial Society"

      Pages: 41-44

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] USB起動KNOPPIX/Math/2010について2011

    • Author(s)
      濱田龍義
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1759 Pages: 74-80

    • Related Report
      2011 Annual Research Report
  • [Journal Article] On three dimensional real hypersurface in complex space for2010

    • Author(s)
      Jong-Taek Cho, Tatsuyoshi Hamada, and Jun-ichi Inoguchi
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 33 Pages: 31-47

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Ruled real hypersurfaces of complex space forms2010

    • Author(s)
      Tatsuyoshi Hamada and Jun-ichi Inoguchi
    • Journal Title

      Kodai Mathematical Journal

      Volume: 33 Pages: 123-134

    • NAID

      130004687926

    • Related Report
      2011 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On three dimensional real hypersurface in complex space form2010

    • Author(s)
      Jong-Taek Cho, Tatsuyoshi Hamada, Jun-ichi Inoguchi
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 33 Pages: 31-47

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ruled real hypersurfaces of complex space forms2010

    • Author(s)
      Tatsuyoshi Hamada, Jun-ichi Inoguchi
    • Journal Title

      Kodai Mathematical Journal 33

      Pages: 123-134

    • NAID

      130004687926

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Complete real hypersurfaces in compact rank one symmetricspaces2009

    • Author(s)
      Tatsuyoshi Hamada, Katsuhiro Shiohama
    • Journal Title

      Proc.Amer.Math.Soc. 137

      Pages: 3905-3910

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] GeoGebraが成功している15の理由を検証2012

    • Author(s)
      濱田龍義
    • Organizer
      数式処理学会教育分科会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-26
    • Related Report
      2011 Final Research Report
  • [Presentation] 動的数学ソフトウェアGeoGebraについて2012

    • Author(s)
      濱田龍義
    • Organizer
      数学ソフトウェアとフリードキュメントXIV
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-25
    • Related Report
      2011 Final Research Report
  • [Presentation] 数学とオープンソース2012

    • Author(s)
      濱田龍義
    • Organizer
      数電機シンポジウム
    • Place of Presentation
      首都大学東京
    • Year and Date
      2012-02-19
    • Related Report
      2011 Final Research Report
  • [Presentation] 動的数学ソフトウェアGeoGebraの最新機能2012

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会基礎理論分科会システム分科会合同研究会
    • Place of Presentation
      仙台青葉カルチャーセンター
    • Year and Date
      2012-01-21
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2011dojoについて2011

    • Author(s)
      濱田龍義
    • Organizer
      第20回日本数式処理学会大会
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-09-10
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2011dojoについて2011

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-09-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] KNOPPIX/Mathに見る数学ソフトウェアの世界2011

    • Author(s)
      濱田龍義
    • Organizer
      研究集会計算代数システムの進展
    • Place of Presentation
      九州大学
    • Year and Date
      2011-08-29
    • Related Report
      2011 Final Research Report
  • [Presentation] 複素空間形内の実超曲面の話題について2011

    • Author(s)
      濱田龍義
    • Organizer
      第58回幾何学シンポジウム
    • Place of Presentation
      山口大学
    • Year and Date
      2011-08-27
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2011について2011

    • Author(s)
      濱田龍義
    • Organizer
      RIMS共同研究「数式処理研究の新たな発展」
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2011-07-08
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2011について2011

    • Author(s)
      濱田龍義
    • Organizer
      Risa/Asir Conference 2011
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-03-22
    • Related Report
      2011 Final Research Report
  • [Presentation] 数学ソフトウェア実行環境の将来について2011

    • Author(s)
      濱田龍義
    • Organizer
      第3回日本数式処理学会システム分科会研究会
    • Place of Presentation
      福岡大学
    • Year and Date
      2011-01-22
    • Related Report
      2011 Final Research Report
  • [Presentation] 数学とオープンソース2011

    • Author(s)
      濱田龍義
    • Organizer
      3回大阪市立大学理学研究科FD研修会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2011-01-20
    • Related Report
      2011 Final Research Report
  • [Presentation] An introduction of ICMS-DVDs2010

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      The Third International Congress of Mathematical Software 2010
    • Place of Presentation
      神戸大学
    • Year and Date
      2010-09-13
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math : a open source desktop environment for mathematics2010

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      International Congress of Mathematicians 2010
    • Place of Presentation
      HICC, Hyderabad, India
    • Year and Date
      2010-08-25
    • Related Report
      2011 Final Research Report
  • [Presentation] Lie hypersurfaces in the complex hyperbolic space2010

    • Author(s)
      濱田龍義
    • Organizer
      第57回幾何学シンポジウム
    • Place of Presentation
      神戸大学
    • Year and Date
      2010-08-09
    • Related Report
      2011 Final Research Report
  • [Presentation] USB起動KNOPPIX/Math/2010について,数式処理研究の新たな発展2010

    • Author(s)
      濱田龍義
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2010-07-07
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math : a live system for mathematics2010

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      Harmony Groebner bases and the modern industrial society
    • Place of Presentation
      Hotel Hankyu Expopark
    • Year and Date
      2010-06-29
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2010 The Next Generationについて2010

    • Author(s)
      濱田龍義
    • Organizer
      第19回日本数式処理学会大会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-06-12
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2010 The Next Generationについて2010

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-06-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] KNOPPIX/Math/20102010

    • Author(s)
      濱田龍義
    • Organizer
      Risa/Asir Conference 2010
    • Place of Presentation
      神戸大学
    • Year and Date
      2010-03-18
    • Related Report
      2011 Final Research Report
  • [Presentation] 数学SNSの授業への応用ー福岡大学応用数学科における実践2009

    • Author(s)
      濱田龍義
    • Organizer
      SNSシンポジウム~明治大学SNSの導入と活用~
    • Place of Presentation
      明治大学
    • Year and Date
      2009-12-22
    • Related Report
      2011 Final Research Report
  • [Presentation] Lie hypersurfaces in the complex hyperbolic space2009

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      The 2nd OCAMI-KNUGRG Joint Differential Geometry Workshop
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-10-30
    • Related Report
      2011 Final Research Report
  • [Presentation] Knoppix/Math Technical Talk2009

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      国際研究集会Computer Algebra in Scientific Computing CASC 2009
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2009-09-13
    • Related Report
      2011 Final Research Report
  • [Presentation] 大学初年級におけるGeoGebraの教育利用,数式処理と教育2009

    • Author(s)
      濱田龍義
    • Place of Presentation
      京大会館
    • Year and Date
      2009-08-26
    • Related Report
      2011 Final Research Report
  • [Presentation] The harmony of mathematical software and free documents on KNOPPIX/Math2009

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      Geogebra Conference 2009
    • Place of Presentation
      RISC, Austria
    • Year and Date
      2009-07-14
    • Related Report
      2011 Final Research Report
  • [Presentation] The toy box of mathematics : KNOPPIX/Math2009

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      CADGME 2009 Computer Algebra and Dynamic Geometry Systems in Mathematical Education
    • Place of Presentation
      RISC, Austria
    • Year and Date
      2009-07-13
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2009上の全文検索システムについて2009

    • Author(s)
      濱田龍義
    • Organizer
      第18回日本数式処理学会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2009-06-13
    • Related Report
      2011 Final Research Report
  • [Presentation] KNOPPIX/Math/2009上の全文検索システムについて2009

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2009-06-13
    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.knoppix-math.org/

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.mathlibre.org/

    • Related Report
      2011 Final Research Report
  • [Remarks] アウトリーチ等(1)濱田龍義,「動的数学ソフトウェアGeoGebraのすすめ」,オープンソースカンファレンス2012愛媛, 2012年3月24日,愛媛大学総合情報メディアセンター.

    • Related Report
      2011 Final Research Report
  • [Remarks] (2)濱田龍義,「Live Linuxのすすめ~数学ソフトウェアいろいろ~」,オープンソースカンファレンス2011仙台, 2011年5月21日,東北電子専門学校.

    • Related Report
      2011 Final Research Report
  • [Remarks] (3)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2011関西/神戸, 2011年4月16日,神戸市産業振興センター.

    • Related Report
      2011 Final Research Report
  • [Remarks] (4)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2010福岡, 2010年12月11日,九州産業大学.

    • Related Report
      2011 Final Research Report
  • [Remarks] (5)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2010東京/秋, 2010年9月10日,明星大学.

    • Related Report
      2011 Final Research Report
  • [Remarks] (6)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2010京都, 2010年7月9日,京都コンピュータ学院京都駅前校.

    • Related Report
      2011 Final Research Report
  • [Remarks] (7)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2010北海道, 2010年6月26日,札幌市産業振興センター.

    • Related Report
      2011 Final Research Report
  • [Remarks] (8)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2010仙台, 2010年5月22日,東北電子専門学校.

    • Related Report
      2011 Final Research Report
  • [Remarks] (9)濱田龍義,「数学のおもちゃ箱KNOPPIX/Math」,オープンソースカンファレンス2009福岡, 2009年12月5日,九州産業大学.

    • Related Report
      2011 Final Research Report
  • [Remarks] (10)濱田龍義,「数学のおもちゃ箱KNOPPIX/Math」,オープンソースカンファレンス2009高知, 2009年11月14日,高知市文化プラザかるぽーと.

    • Related Report
      2011 Final Research Report
  • [Remarks] (11)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2009沖縄, 2009年9月26日,沖縄コンベンションセンター

    • Related Report
      2011 Final Research Report
  • [Remarks] (12)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2009島根, 2009年5月16日,松江テルサ.

    • Related Report
      2011 Final Research Report
  • [Remarks] (13)濱田龍義,「KNOPPIX/Mathは数学のおもちゃ箱」,オープンソースカンファレンス2009大分, 2009年3月13日,大分ソフトパーク第2ソフィアプラザビル.

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.mathlibre.org/

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.knoppix-math.org/

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.knoppix-math.org/

    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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