A new higher order Yang--Mills--Higgs flow in Riemannian $4$-manifold

Hemanth Saratchandran, Jiaogen Zhang, Pan Zhang

Let $(M,g)$ be a closed Riemannian $4$-manifold and let $E$ be a vector bundle over $M$ with structure group $G$, where $G$ is a compact Lie group. In this paper, we consider a new…