Envelopes created by pseudo-circle families in the Minkowski plane

Fuente: arXiv
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Auteurs principaux: Wang, Yongqiao, Yang, Lin, Chang, Yuan, Li, Pengcheng
Format: Preprint
Publié: 2024
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author Wang, Yongqiao
Yang, Lin
Chang, Yuan
Li, Pengcheng
author_facet Wang, Yongqiao
Yang, Lin
Chang, Yuan
Li, Pengcheng
contents In this paper, we address the topic of envelopes created by pseudo-circle families in the Minkowski plane, which exhibit some different properties when compared with the Euclidean case. We provide solutions to all four basic problems associated with these envelopes, namely the existence problem, representation problem, problem on the number of envelopes, and problem on the relationships of definitions.
format Preprint
id arxiv_https___arxiv_org_abs_2407_07738
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Envelopes created by pseudo-circle families in the Minkowski plane
Wang, Yongqiao
Yang, Lin
Chang, Yuan
Li, Pengcheng
Differential Geometry
In this paper, we address the topic of envelopes created by pseudo-circle families in the Minkowski plane, which exhibit some different properties when compared with the Euclidean case. We provide solutions to all four basic problems associated with these envelopes, namely the existence problem, representation problem, problem on the number of envelopes, and problem on the relationships of definitions.
title Envelopes created by pseudo-circle families in the Minkowski plane
topic Differential Geometry
url https://arxiv.org/abs/2407.07738