Curvature of positive relative line modules over the quantum projective spaces

TL;DR

This paper demonstrates that the curvature of positive relative line modules over quantum projective spaces is a q-integer deformation of classical curvature, extending Majid's result for the Podle's sphere.

Contribution

It generalizes the classical curvature result to quantum projective spaces, providing a new understanding of quantum line modules.

Findings

Curvature of quantum line modules is a q-integer deformation of classical curvature.

Extends Majid's result from Podle's sphere to quantum projective spaces.

Provides a mathematical framework for quantum line bundle curvature analysis.

Abstract

We show that the curvature of a positive relative line module over quantum projective space is given by $q$-integer deformation of its classical curvature. This generalises a result of Majid for the Podle\'s sphere.