| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
|---|
| Research Abstract |
For generalized flag manifolds, we completely classified homogeneous Einstein metrics in case that these have four isotropy summands. Moreover, in the cases when generalized flag manifolds have five or six isotropy summands, we obtain the existence of non-Kahler Einstein metrics on these spaces. For solvable Lie groups which are obtained by the extensions of nilpotent Lie subgroups corresponding to the parabolic Lie subalgebras of garaded semi-simple Lie groups, we have proved that there exist always Einstein metrics. We also constructed many compact pseudo-Kahler solvmanifolds with flat Ricci tensor.
|
