2012 Fiscal Year Final Research Report
Applications of the Weil-Petersson and the Takhtajan-Zograf metrics
| Project/Area Number |
21540192
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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 | Kagoshima University |
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Principal Investigator |
OBITSU Kunio 鹿児島大学, 大学院・理工学研究科, 准教授 (00325763)
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| 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)
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| Project Period (FY) |
2009 – 2012
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| Keywords | ケーラー計量 / モジュライ空間 / リーマン面 / 漸近解析 |
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| 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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