AI 中文总结
本文通过抽象衰减定理和Kato不等式，证明了高维流形上Yang-Mills联络与Yang-Mills-Higgs对在二次衰减假设下的改进衰减速率。
AI 中文摘要
我们获得了高维流形上Yang-Mills联络和Yang-Mills-Higgs对在无穷远处的衰减估计。主要工具是一个针对具有适当正调和函数的流形的抽象衰减定理。将该定理与精细的Kato不等式相结合，我们证明了在一定的渐近锥形和乘积流形上，自然的二次衰减假设意味着改进的衰减速率。
英文摘要
We obtain decay estimates at infinity for Yang-Mills connections and Yang-Mills-Higgs pairs on higher-dimensional manifolds. The main tool is an abstract decay theorem for manifolds with suitable positive harmonic functions. Combining this theorem with refined Kato inequalities, we prove that a natural quadratic decay assumption implies an improved decay rate on certain asymptotically conical and product manifolds.
Comments12 pages
