2012 Fiscal Year Final Research Report
Research of transverse geometric structures on foliated manifolds
| Project/Area Number |
21740051
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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 | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2012
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| Keywords | 微分幾何学 |
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| Research Abstract |
(1) We show that there exists a smooth metric on the set of transverse Riemannian metrics on foliated manifolds with taut foliations
(2) We prove that the moduli space of transverse Calabi-Yau structures on foliated manifolds with taut foliations is Hausdorff and a smooth manifold, and compute the dimension of the moduli spaces in some examples.
(3) We provide a deformation theory of special Legendrian submanifolds in Sasaki-Einstein manifolds.
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