Noncommutative Deformations of Locally Symmetric Kahler manifolds
Noncommutative Deformations of Locally Symmetric Kahler manifolds
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局部对称卡勒流形的非交换变形
DOI：
10.1016/j.geomphys.2017.01.009
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发表时间：
2017
影响因子：
1.5
通讯作者：
Akifumi Sako
中科院分区：
文献类型：
--
作者：
Kentaro Hara;Akifumi Sako
我们推导出代数递推关系，以获得局部对称凯勒流形的变量分离的变形量化。这种量化方法是Kähler流形变形量化的方法之一，由Karabegov提出。根据递推关系，构造了一维局部对称Kähler流形和C P N 星积的具体表达式。格拉斯曼流形 G 2, 2 的递推关系也得到了仔细研究。
We derive algebraic recurrence relations to obtain a deformation quantization with separation of variables for a locally symmetric Kähler manifold. This quantization method is one of the ways to perform a deformation quantization of Kähler manifolds, which is introduced by Karabegov. From the recurrence relations, concrete expressions of star products for one-dimensional local symmetric Kähler manifolds and C P N are constructed. The recurrence relations for a Grassmann manifold G 2, 2 are closely studied too.