Geometry of weakly reflective submanifolds
Project/Area Number |
20740044
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Geometry
|
Research Institution | Osaka City University |
Principal Investigator |
SAKAI Takashi Osaka City University, 大学院・理工学研究科, 助教 (30381445)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | 微分幾何学 / 極小部分多様体 / 等質空間 / 対称空間 / 幾何学 |
Research Abstract |
We studied weakly reflective submanifolds. We constructed cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere and observed their singularities and asymptotic behavior. We obtained a deformation of a special Lagrangian submanifold which is given as the conormal bundle of a weakly reflective submanifold in the sphere concretely. We also studied global tightness and the Floer homology of real forms of Hermitian symmetric spaces of compact type.
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Report
(4 results)
Research Products
(38 results)