| Project/Area Number |
20540091
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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 | Chuo University |
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Principal Investigator |
MIYOSHI Shigeaki Chuo University, 理工学部, 教授 (60166212)
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| Co-Investigator(Kenkyū-buntansha) |
MITSUMATS Yoshihiko 中央大学, 理工学部, 教授 (70190725)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 幾何学 / トポロジー / 葉層構造 / 接触トポロジー |
|---|
| Research Abstract |
It was only known that Reebless foliations among codimension-one foliations on a 3-manifold satisfy Thurston's inequality. Also, according to the latest research the condition of Reebless is known not to be necessary for Thurston's inequality. Moreover, the example not satisfying Thurston's inequality had not been known. In this research, we studied spinnable foliations in detail and obtained a sufficient condition for spinnable foliations. Thus we constructed a family of spinnable foliations each of which satisfies Thurston's inequality and an example of the foliation not satisfying Thurston's inequality.
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