Some useful relations of the new star product on noncommutative curved space time when Delta is a constant

TL;DR

This paper investigates properties of a new star product on noncommutative curved spacetime, specifically when a certain parameter Delta is constant, revealing useful mathematical relations.

Contribution

It demonstrates specific properties of Mebaraki's new star product under the condition that Delta is constant, advancing understanding of noncommutative geometry.

Findings

Identifies properties of the star product when Delta is constant

Provides mathematical relations relevant to noncommutative curved spacetime

Enhances the theoretical framework of noncommutative geometry

Abstract

We are going to show that new star product was found by Mebaraki for noncommutative curved space time has some properties when $\triangle$ (it has appeared in new multiplication) is a constant.