In this note, we establish two analytic lemmas and use them to geometry of submanifolds, harmonic maps and Yang-Mills fields to obtain some global pinching results on these objects.%本文建立了两个解析引理,并将它们应用于子流形的几何、调和映射以及Yang-Mills场理论,从而获得了关于这些对象的几个整体Pinching结果.
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