The Yang-Mills flow for cylindrical end 4-manifolds

2016/03/01 by David L. Duncan, Duncan, David L.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1603.00520

53 pages

arxiv created 2016/03/01 · arxiv updated 2016/03/03

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.

Related

• The Yang-Mills α-flow in vector bundles over four manifolds and its applications
• The gauge fixing theorem with applications to the Yang-Mills flow over Riemannian manifolds
• Uhlenbeck compactness for Yang-Mills flow in higher dimensions
• Infinite time bubbling for the SU(2) Yang-Mills heat flow on ℝ⁴
• Higher order Yang-Mills flow