QUANTIZATION OF LOCALLY SYMMETRIC KAHLER MANIFOLDS

被引：2

作者：

Hara, Kentaro ^{[1
]}

Sako, Akifumi ^{[2
]}

机构：

[1] Tokyo Univ Sci, Dept Math & Sci Educ, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan

[2] Tokyo Univ Sci, Fac Sci, Div 2, Dept Math,Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan

来源：

PROCEEDINGS OF THE NINETEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2018年

关键词：

Deformation quantization; locally symmetric Kahler manifolds; noncommutative geometry; noncommutative Riemann surfaces;

D O I：

10.7546/giq-19-2018-122-131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce noncommutative deformations of locally symmetric Kahler manifolds. A Kahler manifold M is said to be a locally symmetric Kahler manifold if the covariant derivative of the curvature tensor is vanishing. An algebraic derivation process to construct a locally symmetric Kahler manifold is given. As examples, star products for noncommutative Riemann surfaces and noncommutative CPN are constructed.

引用

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页码：122 / 131

页数：10

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