2011 Fiscal Year Final Research Report
Research for the twistor theory concerning families of holomorphic disks and geometry of indefinite metrics
| Project/Area Number |
20740034
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Tokyo University of Science (2010-2011)
Tokyo Institute of Technology (2008-2009) |
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Principal Investigator |
NAKATA Fuminori 東京理科大学, 理工学部・数学科, 助教 (80467034)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 微分幾何学 / 複素幾何学 / ツイスター理論 / 波動方程式 |
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| Research Abstract |
New general theories, reduction theories and many examples are established in the field of the theory of twistor correspondence concerning with families of holomorphic disks. We obtained new results on the theories of hyperbolic PDEs and integral transforms, and we found unknown relations between twistor theory and these theories. Such relations give new insights to the theory of indefinite geometries. The results in this research give a new way to develop indefinite geometries.
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