On a class of automorphisms in H2 which resemble the property of preserving volume

DOI10.1002/mana.201900259zbMath1530.30048arXiv1810.11412OpenAlexW3128291981MaRDI QIDQ6057891

Jasna Prezelj, Fabio Vlacci

Publication date: 5 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11412

zbMATH Keywords

quaternionsAndersen-Lempert theoryslice regular functionshearsovershears

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Differentiability questions for infinite-dimensional manifolds (58B10)

Related Items (2)

A representation formula for slice regular functions over slice-cones in several variables ⋮ An interpolation theorem for slice-regular functions with application to very tame sets and slice Fatou-Bieberbach domains in \(\mathbb{H}^2\). Interpolation theorem and slice Fatou-Bieberbach domains in \(\mathbb{H}^2\)

Cites Work

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• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• A new theory of regular functions of a quaternionic variable
• Regular Functions of a Quaternionic Variable
• Stein Manifolds and Holomorphic Mappings
• Volume-preserving automorphisms of C⊃n⊃
• Divergence zero quaternionic vector fields and Hamming graphs

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