An Example of the Curvature Tensor for a Quantum Space
Differential Geometry
2009-07-30 v2
Abstract
The paper is constructed in two parts.In the first part we introduce the concept of the algebra of Q-meromorphic functions on the quantum plane.The A (q)-algebra of Q-analytic functions considered in[6]is seen as a proper subalgebra. In the second part we find a formula for the curvature tensor on this algebra. It is seen that when the quantization parameter tendsto 1,then this formula gives the flatness of the usual R^2 .
Cite
@article{arxiv.0907.5022,
title = {An Example of the Curvature Tensor for a Quantum Space},
author = {Vida Milani and Seyed M. H. Mansourbeigi and Farzaneh Falahati},
journal= {arXiv preprint arXiv:0907.5022},
year = {2009}
}
Comments
7 pages