Kahler-Sasaki geometry of toric symplectic cones in action-angle coordinates
Kahler-Sasaki geometry of toric symplectic cones in action-angle coordinates
复制标题
作用角坐标中环面辛锥的 Kahler-Sasaki 几何
DOI：
10.4171/pm/1862
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Abreu
中科院分区：
文献类型：
--
作者：
M. Abreu
就像接触流形决定并由辛锥决定一样，佐佐木流形决定并由合适的卡勒锥决定。Kahler-Sasaki几何是这些锥体的几何。
In the same way that a contact manifold determines and is determined by a symplectic cone, a Sasaki manifold determines and is determined by a suitable Kahler cone. Kahler-Sasaki geometry is the geometry of these cones.
This paper presents a symplectic action-angle coordinates approach to toric Kahler geometry and how it was recently generalized, by Burns-Guillemin-Lerman and Martelli-Sparks-Yau, to toric Kahler-Sasaki geometry. It also describes, as an application, how this approach can be used to relate a recent new family of Sasaki-Einstein metrics constructed by Gauntlett-Martelli-Sparks-Waldram in 2004, to an old family of extremal Kahler metrics constructed by Calabi in 1982.
影响因子：
4.4
作者：
J. Gauntlett;D. Martelli;J. Sparks;D. Waldram
通讯作者：
J. Gauntlett;D. Martelli;J. Sparks;D. Waldram