2010 Fiscal Year Final Research Report
Kobayashi-Hitchin correspondence for polarized algebraic manifolds and Kahler-Ricci flows
| Project/Area Number |
20540069
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Kanazawa University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Keywords | Einstein-Kahler計量 / 幾何学的不変式論 / 安定性 / Einstein-佐々木計量 |
|---|
| Research Abstract |
Firstly, we have generalized the notion of Kahler-Ricci solitons to the case of general polarized manifolds, which are called" generalized Kahler-Ricci solitons". Moreover, we have constructed a non-trivial example of a generalieze Kahler-Ricci soliton. Next, we have constructed new examples of non-toric Einstein-Sasaki manifolds, that is, we have constructed Einstein-Sasaki metrics on certain unit-circle bundles associated to the canonical line bundles of projective line-bundles over Kahler-Einstein Fano manifolds
|
