Development of spin geometry with the Rarita-Schwinger operators
| Project/Area Number |
22740047
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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 | Waseda University |
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Principal Investigator |
HOMMA Yasushi 早稲田大学, 理工学術院, 教授 (50329108)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 微分幾何学 / スピン幾何学 / ディラック作用素 / ラリタ・シュインガー作用素 / 幾何学 / エータ関数 / 微分幾何 / スピン幾何 |
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| Research Abstract |
The Dirac operators and spinors are important geometrical tools to investigate differential manifolds. Such a filed in mathematics is called “spin geometry”. The purpose of this project is that we develop spin geometry with the Rarita-Schwinger operators instead of the Dirac operators. We have the following results:
(1) Some properties of spectra of the Rarita-Schwinger operator on the 3-dimHeisenberg manifold.
(2) Eta-functions and their special values for the Dirac operators on some 3-dimmanifolds (by joint work).
Besides, we found some ideas to develop spin geometry with the Rarita-Schwingeroperators.
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Report
(4 results)
Research Products
(7 results)
