论文标题

复杂值(P,Q) - riemannian流形的谐波形态

Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds

论文作者

Ghandour, Elsa, Gudmundsson, Sigmundur

论文摘要

我们介绍了Riemannian流形之间的(P,Q) - 谐波形态的自然概念。这统一了过去几十年来研究的几种理论。然后,我们研究涉及的地图值为复杂的特殊情况。为此,我们找到了一个特征,并在重要情况下提供了新的非平凡示例。

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.

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