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Applications of computational algebra theory to differential geometry

Research Project

Project/Area Number 24540104
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
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) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords幾何学 / 部分多様体論 / 計算機代数 / MathLibre / オープンソースソフトウェア
Outline of Final Research Achievements

We investigated the new approach to differential geometry with related to the theory of computer algebra systems. We studied the geometrical invariant related with submanifold theory and almost contact structures.

On the other hand, We developed the computer environment of Live Linux, it contains various computer algebra and visualization systems. MathLibre is the system of collection of software tools and documents for researching mathematics.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (18 results)

All 2015 2014 2013 2012 Other

All Journal Article (6 results) (of which Peer Reviewed: 5 results,  Open Access: 2 results) Presentation (7 results) (of which Invited: 2 results) Book (2 results) Remarks (3 results)

  • [Journal Article] The parallelism of a certain tensor of real hypersurfaces in a nonflat complex space form2015

    • Author(s)
      Tatsuyoshi Hamada and Katsufumi Yamashita
    • Journal Title

      C. R. Math. Rep. Acad. Sci. Canada

      Volume: 37

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 動的数学ソフトウェアの教育利用について2015

    • Author(s)
      濱田龍義
    • Journal Title

      数学ソフトウェアとその効果的教育利用に関する研究

      Volume: 1978

    • Related Report
      2015 Annual Research Report
    • Open Access
  • [Journal Article] MathLibre: modifiable desktop environment for mathematics2014

    • Author(s)
      Tatsuyoshi Hamada
    • Journal Title

      Mathematical Software -- ICMS2014, Lecture Notes in Computer Science

      Volume: 8592 Pages: 702-705

    • DOI

      10.1007/978-3-662-44199-2_104

    • ISBN
      9783662441985, 9783662441992
    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] MathLibre: personalizable computer environment for mathematical research2014

    • Author(s)
      Tatsuyoshi Hamada
    • Journal Title

      Poster session of ISSAC2014, ACM Communication in Computer Algebra

      Volume: 48 Issue: 3/4 Pages: 116-117

    • DOI

      10.1145/2733693.2733704

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Curvature properties of Lie hypersurfaces in the complex hyperbolic space2012

    • Author(s)
      T.Hamada, Y.Hoshikawa, H.Tamaru
    • Journal Title

      J. Geom.

      Volume: 103 Issue: 2 Pages: 247-261

    • DOI

      10.1007/s00022-012-0127-1

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Live exhibitions in the classroom with mathematical software2012

    • Author(s)
      Tatsuyoshi Hamada
    • Journal Title

      Proceedings of the Korean Society of Mathematical Education

      Volume: 2012.11

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] MathLibre 2015について2015

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会
    • Place of Presentation
      筑波大学
    • Year and Date
      2015-06-05
    • Related Report
      2015 Annual Research Report
  • [Presentation] 複素空間型内の実超曲面のある種の平坦性について2015

    • Author(s)
      濱田龍義
    • Organizer
      日本数学会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-22
    • Related Report
      2014 Research-status Report
  • [Presentation] MathLibre 2014 について2014

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2014-06-01
    • Related Report
      2014 Research-status Report
  • [Presentation] Mathematical software for research, education, and exhibition2012

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      大韓数学会
    • Place of Presentation
      淑明女子大学校(韓国)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] KNOPPIX/Math から MathLibre へ2012

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会
    • Place of Presentation
      山口大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Live exhibitions in the classroom with mathematical software2012

    • Author(s)
      Tatsuyoshi Hamada
    • Organizer
      大韓数学教育学会
    • Place of Presentation
      韓国教員大学校(韓国)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] MathLibre 2013について

    • Author(s)
      濱田龍義
    • Organizer
      日本数式処理学会
    • Place of Presentation
      防衛大学校
    • Related Report
      2013 Research-status Report
  • [Book] Statistics and Software Systems2013

    • Author(s)
      Takayuki Hibi (Ed.)
    • Publisher
      Springer
    • Related Report
      2013 Research-status Report
  • [Book] Differential Geometry of Submanifolds and its Related Topics2013

    • Author(s)
      Sadahiro Maeda, Yoshihiro Ohnita, Qing-Ming Cheng
    • Publisher
      World Scientific
    • Related Report
      2013 Research-status Report
  • [Remarks] MathLibre Project

    • URL

      http://www.mathlibre.org/

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
  • [Remarks] MathLibre Project

    • URL

      http://www.mathlibre.org/

    • Related Report
      2013 Research-status Report
  • [Remarks] MathLibre Project

    • URL

      http://www.mathlibre.org/

    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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