半经典二维闵科夫斯基平面

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-04-23 DOI:10.1007/s00010-024-01056-2

Günter F. Steinke

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引用次数: 0

摘要

半经典几何已经在二维仿射平面，射影平面，Möbius平面和拉盖尔平面的背景下进行了研究。这里我们处理二维闵可夫斯基平面的情况。半经典二维闵可夫斯基平面是将经典实闵可夫斯基平面的两个半平面沿两个圆或平行类粘贴在一起得到的。通过求解描述粘贴的函数的一些泛函方程，我们确定了所有的半经典二维闵可夫斯基平面。与其他种类丰富的半经典平面相比，这种闵可夫斯基平面的模型非常少。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Semi-classical 2-dimensional Minkowski planes

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Semi-classical 2-dimensional Minkowski planes

Semi-classical geometries have been investigated in the context of 2-dimensional affine planes, projective planes, Möbius planes and Laguerre planes. Here we deal with the case of 2-dimensional Minkowski planes. Semi-classical 2-dimensional Minkowski planes are obtained by pasting together two halves of the classical real Minkowski plane along two circles or parallel classes. By solving some functional equations for the functions that describe the pasting we determine all semi-classical 2-dimensional Minkowski planes. In contrast to the rich variety of other semi-classical planes there are only very few models of such Minkowski planes.

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.