Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant

Matheus Vieira

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arXiv · 2406.06853

Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant

Matheus Vieira

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Abstract

In this paper we prove gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant. We extend the results of Gursky-Kelleher-Streets to complete manifolds. We also describe the equality in the gap theorem in terms of the basic instanton, which is interesting even for compact manifolds.

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Matheus Vieira. 2024-06-10. Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant. https://arxiv.org/abs/2406.06853

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