Moduli spaces of vector bundles and a generalization of harmonic maps
| Project/Area Number |
20540081
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Kyushu University |
|---|
Principal Investigator |
NAGATOMO Yasuyuki Kyushu University, 数理学研究院, 准教授 (10266075)
|
|---|
| 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)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
|---|
| Keywords | 微分幾何 / モジュライ空間 / ベクトル束 / 調和写像 / 表現論 / 反自己双対接続 / リー群 / 対称空間 / 等径関数 / 極小部分多様体 |
|---|
| 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.
|
Report
(4 results)
Research Products
(40 results)
