2010 Fiscal Year Final Research Report
Geometry of weakly reflective submanifolds
| Project/Area Number |
20740044
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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 | Osaka City University |
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Principal Investigator |
SAKAI Takashi Osaka City University, 大学院・理工学研究科, 助教 (30381445)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 微分幾何学 / 極小部分多様体 / 等質空間 / 対称空間 |
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| 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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