We prove the global existence of Dirac-wave maps with curvature term with small initial data on globally hyperbolic manifolds of arbitrary dimension which satisfy a suitable growth condition. In addition, we also prove a global existence result for wave maps under similar assumptions.

中文翻译：

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具有扩展时空曲率项的狄拉克波图的整体存在。

我们证明了具有任意曲率项的狄拉克波图的整体存在性，在具有合适增长条件的任意尺寸的整体双曲流形上具有少量初始数据。此外，我们还证明了在相似假设下波浪图的整体存在结果。