Warped Products and Yang–Mills Equations on Noncommutative Spaces

This paper presents a non-self-dual solution of the Yang–Mills equations on a noncommutative version of the classical R4\{0}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}^4\smallsetminus\{0\}}$$\end{document}, so generalizing the classical meron solution first introduced by de Alfaro et al. (Phys Lett B 65:163–166, 1976). The basic tool for that is a generalization to noncommutative spaces of the classical notion of warped products between metric spaces.