数学的实践与认识2024,Vol.54Issue(12) :219-228.

拟双曲度量空间近测地环拟凸性的几何特征

Geometric Charaterizations of Neargeodesic Annular Quasiconvexity for Quasihyperbolic Metric Spaces

杨倩 刘红军 梁茜
数学的实践与认识2024,Vol.54Issue(12) :219-228.

拟双曲度量空间近测地环拟凸性的几何特征

Geometric Charaterizations of Neargeodesic Annular Quasiconvexity for Quasihyperbolic Metric Spaces

杨倩 1刘红军 1梁茜1
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作者信息

  • 1. 贵州师范大学数学科学学院,贵州 贵阳 550025
  • 折叠

摘要

在拟双曲度量空间中引入反演度量和球化度量的概念,并利用反演度量和球化度量的性质来刻画了拟双曲度量空间近测地环拟凸性的一些几何特征.

Abstract

In this paper,we introduce the concepts of inversion metric and sphericaliza-tion matric in quasihyperbolic metric spaces,and obtain some geometric characterizations of neargeodesic annular quasiconvexity for quasihyperbolic metric spaces in terms of the properties of inversion metric and sphericalization matric.

关键词

拟双曲度量/反演/球化/近测地线/近测地环拟凸性

Key words

quasihyperbolic metric/inversion/sphericalization/neargeodesic line/near-geodesic annular quasiconvexity

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出版年

2024
数学的实践与认识
中国科学院数学与系统科学研究院

数学的实践与认识

CSTPCD北大核心
影响因子:0.349
ISSN:1000-0984
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