Tuesday Seminar on Topology
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| Date, time & place | Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | IKE Yuichi, KONNO Hokuto, SAKASAI Takuya |
2007/10/16
17:00-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
二木 昭人 (東京工業大学大学院理工学研究科)
Toric Sasaki-Einstein manifolds
二木 昭人 (東京工業大学大学院理工学研究科)
Toric Sasaki-Einstein manifolds
[ Abstract ]
A compact toric Sasaki manifold admits a Sasaki-Einstein metric if and only if it is obtained by the Delzant construction from a toric diagram of a constant height. As an application we see that the canonical line bundle of a toric Fano manifold admits a complete Ricci-flat K\\"ahler metric.
A compact toric Sasaki manifold admits a Sasaki-Einstein metric if and only if it is obtained by the Delzant construction from a toric diagram of a constant height. As an application we see that the canonical line bundle of a toric Fano manifold admits a complete Ricci-flat K\\"ahler metric.


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