A note on weak compactness of $\Omega$-Yang-Mills connections

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 $\Omega$-Yang-Mills connections on principle bundles over compact Riemannian manifold.

Publication Details

Journal
ArXiv.org
Published
2025-02-21
Primary Topic
Vitamin D Research Studies
Type
article
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article

A note on weak compactness of $\Omega$-Yang-Mills connections

ArXiv.org
Vitamin D Research Studies
article

A note on weak compactness of $\Omega$-Yang-Mills connections

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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 $\Omega$-Yang-Mills connections on principle bundles over compact Riemannian manifold.

ArXiv.org
Openalex Percentile: Top 38%
Vitamin D Research Studies
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A note on weak compactness of $\Omega$-Yang-Mills connections · ArXiv.org (2025) | TGRS Research Map | TGRS