A note on weak compactness of Ω-Yang-Mills connections

2025/02/21 by Guo, Chang-Yu, Xiang, Chang-Lin
#53C05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.15461

Abstract

In this note, applying a compensation compactness argument developped by Chen and Giron (arXiv.2108.13529) on Yang-Mills fields, we extends their weak continuity result to the more general class of Ω-Yang-Mills connections on principle bundles over compact Riemannian manifold.

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