We introduce the natural notion of (p, q)-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the last decades. We then study the special case when the maps involved are complex-valued. For these we find a characterisation and provide new non-trivial examples in important cases.

中文翻译：

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黎曼流形的复值（p，q）-调和态

我们介绍了黎曼流形之间的（p，  q）调和态的自然概念。这统一了过去几十年来研究的几种理论。然后，我们研究当涉及的地图为复数值时的特殊情况。对于这些，我们找到了一个特征，并在重要情况下提供了新的重要例子。