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arxiv: 1402.1957 · v1 · pith:SPM5ZZDKnew · submitted 2014-02-09 · 🧮 math.CV

Stable geometric properties of pluriharmonic and biholomorphic mappings, and Landau-Bloch's theorem

classification 🧮 math.CV
keywords mappingspluriharmonicgeometriclandau-blochpropertiessometheoremball
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In this paper, we investigate some properties of pluriharmonic mappings defined in the unit ball. First, we discuss some geometric univalence criteria on pluriharmonic mappings, and then establish a Landau-Bloch theorem for a class of pluriharmonic mappings.

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