复平面对称映射的几何特征

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-03-05 DOI:10.1007/s40840-024-01665-9

引用次数: 0

摘要

Abstract In this paper, we establish several characterizations of planar symmetric maps, such as preserving Euclidean circles, preserving k-Apollonius circles for some \(k\in (0,\infty )\) , and preserving geometric moduli of all pairs disointed continu in the extended complex plane.的 k-Apollonius 圆，以及保留扩展复平面中所有不相交连续面对的几何模量。

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Geometric Characterizations of Symmetric Maps in the Complex Plane

Abstract

In this paper, we establish several characterizations of planar symmetric maps, such as preserving Euclidean circles, preserving k-Apollonius circles for some \(k\in (0,\infty )\) , and preserving geometric moduli of all pairs of disjoint continua in the extended complex plane.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.