2010 Fiscal Year Final Research Report
Moduli spaces of vector bundles and a generalization of harmonic maps
| Project/Area Number |
20540081
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Kyushu University |
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Principal Investigator |
NAGATOMO Yasuyuki Kyushu University, 数理学研究院, 准教授 (10266075)
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| Co-Investigator(Renkei-kenkyūsha) |
TAKAHASHI Masarou 久留米工業高等専門学校, 一般科目理科系, 准教授 (70311107)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 微分幾何 |
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| Research Abstract |
Using a characterization of harmonic maps into Grassmannians by linear equations, we construct isoparametric functions on symmetric spaces. Moreover, these are transformed into isoparametric functions on spheres by Radon transform. We describe a moduli space of harmonic maps between complex projective spaces with constant energy densities by linear algebraic datum. We also describe a moduli spaces of holomorphic maps from Hermitian symmetric spaces into complex Grassmannian manifolds in a similar method.
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Research Products
(24 results)
