An Example of the Curvature Tensor for a Quantum Space

Vida Milani; Seyed M. H. Mansourbeigi; Farzaneh Falahati

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arXiv · 0907.5022

An Example of the Curvature Tensor for a Quantum Space

Vida Milani·Seyed M. H. Mansourbeigi·Farzaneh Falahati

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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 .

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Vida Milani, Seyed M. H. Mansourbeigi, Farzaneh Falahati. 2009-07-30. An Example of the Curvature Tensor for a Quantum Space. https://arxiv.org/abs/0907.5022

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