| Project/Area Number |
24740050
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Fukushima University |
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Principal Investigator |
NAKATA Fuminori 福島大学, 人間発達文化学類, 准教授 (80467034)
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| Research Collaborator |
KAMADA Hiroyuki 宮城教育大学, 教育学部, 教授 (00249799)
HASHIMOTO Hideya 名城大学, 理工学部, 教授 (60218419)
OHASHI Misa 名古屋工業大学, 工学部, 准教授 (70710359)
MATSUSHITA Yasuo 滋賀県立大学, 名誉教授
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | ツイスター理論 / 不定値計量 / 複素幾何学 / 波動方程式 / 微分幾何学 |
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| Outline of Final Research Achievements |
The twistor correspondence for circle invariant indefinite Einstein-Weyl structure is established, and its relation with the theory of integral transforms and wave equations are found. Investigation for the twistor correspondence for the twisted Tod-Kamada metric is also progressing.
On the other hand, by the collaboration with several specialists, we start an investigation for G2 geometry, and obtained a remarkable result. That is, we succeeded to characterize a geometric structure of the associative Grassmannian via twistor theory in the G2 geometry. This theory is strongly related to the theory of isoparametric hypersurfaces. Moreover, we succeeded to write down a map clearly which is important in the investigation of the associative Grassmannian.
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