Slice regular functions and orthogonal complex structures over R8

被引：1

作者：

Ghiloni, Riccardo ^{[1
]}

Perotti, Alessandro ^{[1
]}

Stoppato, Caterina ^{[2
]}

机构：

[1] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Povo, Italy

[2] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2022年 / 16卷 / 02期

关键词：

Functions of octonionic variable; slice regular functions; real differential; open mapping theorem; branched covering; octonionic almost-complex structures;

D O I：

10.4171/JNCG/452

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work looks at the theory of octonionic slice regular functions through the lens of differential topology. It proves a full-fledged version of the open mapping theorem for octonionic slice regular functions. Moreover, it opens the path for a possible use of slice regular functions in the study of almost-complex structures in eight dimensions.

引用

页码：637 / 676

页数：40

共 37 条

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ELECTRONIC JOURNAL OF COMBINATORICS, 2016, 23 (01):
[2] A Fiber Bundle over the Quaternionic Slice Regular Functions
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[8] Generalized Bohr radius for slice regular functions over quaternions
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ANNALI DI MATEMATICA PURA ED APPLICATA, 2021, 200 (03) : 1217 - 1229
[9] Singularities of slice regular functions over real alternative*-algebras
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Perotti, Alessandro
Stoppato, Caterina
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[10] s-Regular functions which preserve a complex slice
Altavilla, A.
de Fabritiis, C.
ANNALI DI MATEMATICA PURA ED APPLICATA, 2018, 197 (04) : 1269 - 1294

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