The Intrinsic Geometry of Simply and Rectifiably Connected Plane Sets

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2024-05-13 DOI:10.1007/s40315-024-00527-6

David A. Herron

引用次数: 0

Abstract

We prove that the metric completion of the intrinsic length space associated with a simply and rectifiably connected plane set is a Hadamard space. We also characterize when such a space is Gromov hyperbolic.

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简单整联平面集的本征几何学

我们证明，与简单且可整齐连接的平面集相关联的本征长度空间的度量补全是哈达玛空间。我们还描述了这种空间何时是格罗莫夫双曲空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.