The Yang-Mills flow for cylindrical end 4-manifolds

TL;DR

This paper investigates the behavior of the Yang-Mills flow on 4-manifolds with cylindrical ends, proving existence, uniqueness, and convergence results under specific conditions.

Contribution

It provides new existence, uniqueness, and convergence theorems for Yang-Mills flow on cylindrical end 4-manifolds, extending previous understanding in this geometric setting.

Findings

Existence and uniqueness results for the Yang-Mills flow.

Long-time existence and convergence under certain hypotheses.

Extension of Yang-Mills flow analysis to cylindrical end 4-manifolds.

Abstract

We establish various existence and uniqueness results for the Yang-Mills flow on cylindrical end 4-manifolds. We also show long-time existence and infinite-time convergence under certain hypotheses on the underlying data.