关于双复莫比乌斯变换的更多信息：几何、代数与分析方面

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-06-24 DOI:10.1007/s00006-024-01323-0

M. Elena Luna–Elizarrarás, Anatoly Golberg

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引用次数: 0

摘要

本文旨在分析和证明与二复数莫比乌斯变换有关的各种事实。利用二复数集的分解，得到了各种代数和几何结果：\({{\mathbb {B}}}{{\mathbb {C}}}= {{\mathbb {D}}}+ \textbf{i}{{\mathbb {D}}}\)，并积极使用了双曲和双复这两种几何对象。本文给出了双复洛巴切夫斯基几何的基本原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects

查看原文本刊更多论文

More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects

The aim of this paper is to analyze and prove different facts related with bicomplex Möbius transformations. Various algebraic and geometric results were obtained, using the decomposition of the bicomplex set as: \({{\mathbb {B}}}{{\mathbb {C}}}= {{\mathbb {D}}}+ \textbf{i}{{\mathbb {D}}}\), and there were used actively both, hyperbolic and bicomplex, geometric objects. The basics of bicomplex Lobachevsky’s geometry are given.

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.