English

Envelopes created by pseudo-circle families in the Minkowski plane

Differential Geometry 2024-07-11 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2407.07738,
  title  = {Envelopes created by pseudo-circle families in the Minkowski plane},
  author = {Yongqiao Wang and Lin Yang and Yuan Chang and Pengcheng Li},
  journal= {arXiv preprint arXiv:2407.07738},
  year   = {2024}
}