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Geometric research on homogeneous bounded domains and homogeneous convex cones

Research Project

Project/Area Number 22740085
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Basic analysis
Research InstitutionKanazawa University

Principal Investigator

KAI Chifune  金沢大学, 数物科学系, 助教 (70506815)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords等質有界領域 / 等質錐 / ジーゲル領域 / 因果構造 / 対称錐 / 正則錐 / 因果多様体 / 因果同型写像 / 正則凸錐 / 凸錐 / 順序同型 / 対称有界領域
Research Abstract

From a geometric point of view, we studied homogeneous bounded domains in complex Euclidean spaces and the associated homogeneous convex cones appearing in the definition of Siegel domains. In particular, we focused on causal structures naturally introduced on homogeneous convex cones or regular convex cones. It turned out that a causal automorphism on a regular convex cone is linear.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (7 results)

All 2011

All Presentation (7 results)

  • [Presentation] The linearity of order isomorphisms on regular convex cones2011

    • Author(s)
      Kai. C
    • Organizer
      Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
    • Place of Presentation
      El Mouradi Palace Hotel (Tunisia)
    • Year and Date
      2011-12-15
    • Related Report
      2012 Final Research Report
  • [Presentation] The linearity of order isomorphisms on regular convex cones2011

    • Author(s)
      C.Kai
    • Organizer
      Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
    • Place of Presentation
      スース(チュニジア)
    • Year and Date
      2011-12-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 正則凸錐の順序自己同型写像の線型性2011

    • Author(s)
      甲斐千舟
    • Organizer
      日本数学会2011年度秋季総合分科会
    • Place of Presentation
      信州大学理学部(長野県)
    • Year and Date
      2011-09-30
    • Related Report
      2012 Final Research Report
  • [Presentation] 正則凸錐の順序自己同型写像の線型性2011

    • Author(s)
      甲斐千舟
    • Organizer
      第50回実函数論・函数解析学合同シンポジウム
    • Place of Presentation
      東京女子大学(東京都)
    • Year and Date
      2011-08-09
    • Related Report
      2012 Final Research Report
  • [Presentation] 正則凸錐の順序同型写像の線型性2011

    • Author(s)
      甲斐千舟
    • Organizer
      第50回実函数論・函数解析学合同シンポジウム
    • Place of Presentation
      東京女子大学(東京都)(招待講演)
    • Year and Date
      2011-08-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] 正則凸錐の順序自己同型写像の線型性2011

    • Author(s)
      甲斐千舟
    • Organizer
      表現論と調和解析における諸問題
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2011-06-29
    • Related Report
      2012 Final Research Report
  • [Presentation] 正則凸錐の順序同型写像の線型性2011

    • Author(s)
      甲斐千舟
    • Organizer
      RIMS研究集会「表現論と調和解析における諸問題」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2011-06-29
    • Related Report
      2011 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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