Event horizons of higher dimensional space-time and the theory of Lagrange/Legendrian singularities
| Project/Area Number |
24654008
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Hokkaido University |
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Principal Investigator |
IZUMIYA Shyuichi 北海道大学, 理学(系)研究科(研究院), 教授 (80127422)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | ルジャンドル特異点 / ラグランジュ特異点 / ブレーン宇宙論 / 微分幾何学 / 焦点集合 / 波面 / 世界面 / 時空 / 反ド・ジッター空間 / ルジャンドル多様体 / 波面の伝播 / 特異点 / ローレンツ空間形 / 光的超曲面 / コーシー地平面 |
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| Outline of Final Research Achievements |
We constructed a geometric framework for describing the caustics of world sheets in the Minkowski space-time and gave a classification of the singularities of the caustics in the 3-dimensional Minkowski space-time. The caustics of world sheets are considered to be boundaries of one of the "multiverse" models in theoretical Physics.
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Report
(4 results)
Research Products
(16 results)
