Applications of the Weil-Petersson and the Takhtajan-Zograf metrics
Project/Area Number |
21540192
|
Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
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Research Institution | Kagoshima University |
Principal Investigator |
OBITSU Kunio 鹿児島大学, 大学院・理工学研究科, 准教授 (00325763)
|
Co-Investigator(Kenkyū-buntansha) |
MIYAJIMA Kimio 鹿児島大学, 大学院・理工学研究科, 教授 (40107850)
AIKOU Tadashi 鹿児島大学, 大学院・理工学研究科, 教授 (00192831)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | ケーラー計量 / モジュライ空間 / リーマン面 / 漸近解析 / タイヒミュラー空間 / アイゼンシュタイン級数 |
Research Abstract |
The reseach with W.-K. To and L. Weng has been advanced. In the paper with them published in 2008, We gave some estimates for the asymptotic behaviors ofthe Takhtajan-Zograf metric. When we compare the Takhtajan-Zograf metric with the Weil-Petersson metric, we found that the order of the asymptotic behavior of the Takhtajan-Zograf metric is strictly smaller than the one of the Weil-Petersson metric. But the precise order of the asymptotics of the Takhtajan-Zograf metric are still unknown. Recently withW.-K. To and L. Weng, I succeeded in improving the upper bound estimate of the Takhtajan-Zograf metric which we could believe is the best upper estimate.
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Report
(5 results)
Research Products
(25 results)