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
|