On the Geometrization of SO(3) Yang-Mills Theory

Hanwen Liu

On the Geometrization of SO(3) Yang-Mills Theory

Differential Geometry 2026-07-07 v1 Mathematical Physics

Authors: Hanwen Liu

Abstract

We prove that, for each non-degenerate traceless Ricci curvature $\Phi$ , locally there exists an $\operatorname{SO}(3)$ Yang-Mills field of which energy-momentum tensor is precisely equal to $\Phi$ .

Keywords

Yang-Mills theory geometrization energy-momentum tensor Ricci curvature SO(3)

Cite

@article{arxiv.2607.06246,
  title  = {On the Geometrization of SO(3) Yang-Mills Theory},
  author = {Hanwen Liu},
  journal= {arXiv preprint arXiv:2607.06246},
  year   = {2026}
}

Comments

4 pages, 0 figure