2014 Fiscal Year Final Research Report
Research on variations of invariants on Riemann surfaces under pseudoconvexity
| Project/Area Number |
23740098
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Fukushima University |
|---|
Principal Investigator |
HAMANO Sachiko 福島大学, 人間発達文化学類, 准教授 (10469588)
|
|---|
| Project Period (FY) |
2011-04-28 – 2015-03-31
|
| Keywords | 関数論 / 多変数関数論 / 複素解析 / スタイン多様体 / ポテンシャル論 / 等角写像 / 擬凸 |
|---|
| Outline of Final Research Achievements |
We showed the variation formulas of the second order for harmonic spans and Schiffer spans on Riemann surfaces with one complex parameter, and applied them to solve the simultaneous uniformization problem. As an application of this result, we proved the uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces of class O_{AD}.
|
| Free Research Field |
数学・基礎解析学
|
