| Project/Area Number |
24540061
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Tokyo Institute of Technology (2014-2016)
Tohoku University (2012-2013) |
|---|
Principal Investigator |
Honda Nobuhiro 東京工業大学, 理工学研究科, 教授 (60311809)
|
|---|
| Project Period (FY) |
2012-04-01 – 2016-03-31
|
| Project Status |
Completed (Fiscal Year 2016)
|
| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Keywords | ツイスター空間 / 有理多様体 / 二重被覆空間 / スカラー平坦ケーラー計量 / 反自己双対計量 / 線形系 / 分類 / 自己双対計量 / 代数次元 / 代数簡約 |
|---|
| Outline of Final Research Achievements |
The main topic of this investigation is to analyse structure of spaces which have background from Riemannian geometry and mathematical physics. This space is called twistor spaces, and is 3-dimensional object which can be descrbed using complex numbers. We intensively investigated geometric structure of twistor spaces. The main tool for the analysis is meromorphic functions on the twistor spaces. Namely I proved existence of meromorphic functions which are enough for describing structure of the spaces. In particular, I described a series of twistor spaces in terms of simple polynomials.
|
Report
(5 results)
Research Products
(17 results)
