EQUILATERAL DIMENSION OF THE UPPER HALF SPACE WITH HYPERBOLIC TYPE METRIC

Let be the upper half space. Then we define the hyperbolic type metric as follows: where and on . In this paper, we calculate the equilateral dimension of this metric space and show that it is .

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Publication Details

Journal
Far East Journal of Mathematical Sciences (FJMS)
Published
2025-05-02
DOI
https://doi.org/10.17654/0972087125012
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

EQUILATERAL DIMENSION OF THE UPPER HALF SPACE WITH HYPERBOLIC TYPE METRIC

Joonhyung Kim
1 links
Far East Journal of Mathematical Sciences (FJMS)
Mathematics and Applications
article

EQUILATERAL DIMENSION OF THE UPPER HALF SPACE WITH HYPERBOLIC TYPE METRIC

Joonhyung Kim
article en

Abstract

Let be the upper half space. Then we define the hyperbolic type metric as follows: where and on . In this paper, we calculate the equilateral dimension of this metric space and show that it is .

Far East Journal of Mathematical Sciences (FJMS)Vol. 142(2)
National Research Foundation, National Research Foundation of Korea
Openalex Percentile: Top 86%
Mathematics and Applications
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EQUILATERAL DIMENSION OF THE UPPER HALF SPACE WITH HYPERBOLIC TYPE METRIC — Joonhyung Kim · Far East Journal of Mathematical Sciences (FJMS) (2025) | TGRS Research Map | TGRS