论各向同性平面内曲线的演变

IF 0.7 3区数学 Q2 MATHEMATICS Aequationes Mathematicae Pub Date : 2024-05-25 DOI:10.1007/s00010-024-01086-w

R. Pacheco, S. D. Santos

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引用次数: 0

摘要

我们将各向同性平面中的每条空间曲线与洛伦兹三维空间中的一条空曲线联系起来。我们将前者的各向同性几何与后者的洛伦兹几何联系起来。我们证明了各向同性平面内曲线的泰特-克内瑟（Tait-Kneser）定理的一个版本。我们给出了一些明确的例子。

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On evolutes of curves in the isotropic plane

We associate to each spacelike curve in the isotropic plane a null curve in the Lorentzian 3-space. We relate the isotropic geometry of the first to the Lorentzian geometry of the second. We prove a version of the Tait–Kneser theorem for curves in the isotropic plane. Some explicit examples are given.

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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.