| Project/Area Number |
18540090
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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 | Kyushu University |
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Principal Investigator |
NISHI Haruko (TAKAYAMA Haruko) Kyushu University, 理学部, 准教授 (90274430)
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| Co-Investigator(Kenkyū-buntansha) |
OHSHIKA Ken'ichi 大阪大学, 大学院・理学研究科, 教授 (70183225)
OHBA Kiyoshi お茶の水女子大学, 理学部, 准教授 (80242337)
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| Research Collaborator |
NAGATOU Kaori 九州大学, 大学院・数理学研究院, 准教授 (40326426)
KOMORI Yohei 大阪市立大学, 大学院・理学研究科, 准教授 (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) |
2006 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥5,030,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
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| Keywords | トポロジー / タイヒミュラー空間 / 平面多角形 / 錐状特異点つきユークリッド構造 / 錐状特異点付きユークリッド構造 / 錐状特異点 / ユークリッド構造 / 多角形 |
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| Research Abstract |
The space of equivalence classes of complex structures on a surface is called Teichmuller space whose geometry is known to be very complicated. We study Teichmuller space through Euclidean cone-structures on a surface and try to show the one-to-one correspondence between Teichmuller space and the space of similarity classes of Euclidean polygons. As a result, we show an isomorphism between the Teichmuller space of one-pointed torus and the space of similarity classes of Euclidean quadrilaterals. Moreover we get a geometric structure induced by the area form on the polygons.
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