2010 Fiscal Year Final Research Report
Global construction of pleating coordinates of Teichmuller spaces and its applications
| Project/Area Number |
19540194
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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 |
Basic analysis
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| Research Institution | Osaka City University |
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Principal Investigator |
KOMORI Yohei Osaka City University, 大学院・理学研究科, 准教授 (70264794)
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| Co-Investigator(Renkei-kenkyūsha) |
IMAYOSHI Yoichi 大阪市立大学, 大学院・理学研究科, 教授 (30091656)
SAKAN Kenichi 大阪市立大学, 大学院・理学研究科, 准教授 (70110856)
SAKUMA Makoto 広島大学, 大学院・理学研究科, 教授 (30178602)
SUGAWA Toshiyuki 東北大学, 大学院・情報科学研究科, 教授 (30235858)
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) |
2007 – 2010
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| Keywords | 複素解析 / リーマン面 / クライン群 |
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| Research Abstract |
We estimate the Teichmuller distance between Riemann surfaces X and Y which is obtained from X byθ-grafting along a simple closed geodesic C. As anapplication we estimate the Teichmuller distance between the conformal boundary andthe convex core boundary of some regular b-groups of type (1,1) one of which gives acounterexample of K=2 conjecture. Also by means of geodesic length functions, werealize Teichmuller spaces of dimension 2 and 3 as convex polyhedron in real projective spaces.
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