Teichmuller space and its topological dynamics via flat singular metrics on a surface
| Project/Area Number |
23540103
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Josai University |
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Principal Investigator |
Nishi Haruko 城西大学, 理学部, 准教授 (90274430)
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| Co-Investigator(Renkei-kenkyūsha) |
OHSHIKA Ken'ichi 大阪大学, 大学院理学研究科, 教授 (70183225)
KOMORI Yohei 早稲田大学, 教育学部, 教授 (70264794)
MIYACHI Hideki 大阪大学, 大学院理学研究科, 准教授 (40385480)
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | タイヒミュラー空間 / 錐状特異点 / 平坦計量 / 擬エルミート計量 / 平坦構造 / 平面多角形 |
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| Outline of Final Research Achievements |
We study the geometry of Teichmuller space through the identification with the moduli space of flat metrics on a surface with cone singularities and aim to clarify the properties of its topological dynamics. As a result, we obtain the description of the signature of the area form by the cone angle data in the case of Riemann sphere to show the existence of the family of quasi-Hermite metrics on the moduli space of flat metrics with cone singularities of any positive or negative cone angles.
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Report
(6 results)
Research Products
(12 results)
