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VOL. 19 | 2018 Quantization of Locally Symmetric Kähler Manifolds
Kentaro Hara, Akifumi Sako

Editor(s) Ivaïlo M. Mladenov, Akira Yoshioka

Abstract

We introduce noncommutative deformations of locally symmetric Kähler manifolds. A Kähler manifold $M$ is said to be a locally symmetric Kähler manifold if the covariant derivative of the curvature tensor is vanishing . An algebraic derivation process to construct a locally symmetric Kähler manifold is given. As examples, star products for noncommutative Riemann surfaces and noncommutative $\mathbb {CP}^N$ are constructed.

Information

Published: 1 January 2018
First available in Project Euclid: 23 December 2017

MathSciNet: MR3586162

Digital Object Identifier: 10.7546/giq-19-2018-122-131

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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